Before we address that question, I'd like to start with an even deeper series of probing questions: What if we found out that God isn't who we think he is? If you stripped away, one by one, the characteristics that we assign to the person known as YHWH, would you stop worshiping him at some point?
I grabbed a list of some of the most common attributes that are ascribed to God. Let's peel them away and talk about them each briefly.
Omnipresent. A fancy word that means that he's not only capable of being everywhere at once, he IS everywhere at once. It's interesting to me that we apply this attribute to God, because there are certain passages in the Bible that can seem to indicate otherwise. If God is everywhere, why did he require the Israelites to go through so much trouble to build him a tabernacle and later a temple? When God calls out to Adam and Eve, "Where are you?", was it indeed a rhetorical question? Putting those questions aside for a moment, does it matter? If you discovered that God had a limited number of places he could be at one time, would you stop worshiping him?
Omniscience. Or in other words, all-knowing. Most of us make use of this attribute on a day-to-day basis, any time we pray to him silently. We expect that he knows our thoughts. But what if he doesn't? I can't think of a time in the Bible where people prayed to God silently. Now, this may just be because it would make for a lousy narrative if the main character just closed his eyes at some point and we never get to "hear" what he said. But what if we did need to say things out loud in order for him to hear us? Would we stop worshiping him?
Omnipotent. All-powerful. We think of God in terms of being able to anything imaginable. If he wanted to destroy the the planet we call earth, he could do it with just a word. But what if he was bound by the same laws of physics that we were? Maybe he just knows how to manipulate them in ways we cannot. Would you still worship him?
Eternal. If God had an origin, would we still worship him? What if he has an end?
I could go on. However, for most people, the answer would probably still be yes. Why?
Imagine for a moment, that God was more like a character from a sci-fi novel or a comic book. Imagine Him as a super-being who had his origin somewhere outside our galaxy. Maybe there's a whole race of beings just like Him. A race that can manipulate the building blocks of the universe at will. Imagine that this race of super-beings spread out over the universe in search of suitable planets to create life on. Our particular God found a small rock, 3 orbits away from a young sun, that would be perfect for the life forms he had in mind, and set to work. Now, after programming the genetic code for the multitude of species He had designed, He decided to make a very special type of life form and imbue them with a special spark; an eternal soul. After their bodies stopped functioning, the eternal soul would return to Him as a spiritual being and He would chose which ones that would stay with him for eternity and which ones that would be destroyed.
Imagine, for a moment, that all of that was true. Would you worship him?
Hold that thought for a moment and let's take a scenic detour. Let's take a look at what it means to "worship". Worship usually involves two things, praise/honor and obedience. When we worship God, we typically do two things; 1) we tell Him and other people we meet that he's a really great guy and about the great things he has done (praise) and 2) we do the things he asks us to do (obedience).
Praise almost always involves things that have been done in the past. You don't typically praise someone for something they haven't done yet, unless it's something like a promise and you trust that they will follow through. When it comes to God, there's one very big thing that he did in the past: he created us. If he didn't do anything more than just that, he would be worthy of praise. Of course, he's done more, but we'll just start with that because it's an act that is fairly universally attributed to God.
But the second part of worship is a little more tricky. Obedience. It's easy to give out honor and praise. We do it all the time. Think about how much honor and praise we ascribe to the "Founding Fathers" and people like Ghandi, Abraham Lincoln, and Martin Luther King. Heck, we even have a gigantic stone statue of Abraham Lincoln in our nation's capital! That's quite a bit of honor to show one person. However, if Abraham Lincoln was alive today and he told you to do something, would you always do whatever he asked? Maybe, maybe not, right? If he tells you to release all your slaves, you'd probably be cool with that. If he asks you to accompany his wife to the theater and sit in his box seat, you might decline.
Let's dip into the comic book world for an example of a being that would deserve praise, if he existed; Superman. He's a pretty good guy, right? Not omnipotent, but pretty powerful. Not omniscient, but that super hearing and X-ray vision probably means he's aware of what's going on more than the average person. Not omnipresent, but fast enough that it might appear that he's in more than one place at a time.
Imagine the following conversation with Superman:
Citizen: Hurray! You just saved the whole east coast of the U.S. from that massive hurricane with your super-breath! You're the greatest guy in the whole world, Superman! We should build a statue in your honor! We should make a national holiday in your honor!
Superman: Really? Well, I'll tell you what; skip the statue and holiday. What I could really use is some cash. Do you have any idea the peanuts I earn at the Daily Planet? So, how about, say, 10%? You can all pay me 10% of your income. Sound fair?
Citizen: Um.. well... I don't really think....
Superman: Well, you know, there is this asteroid... could threaten all of life on earth... but, hey, I might be busy trying to earn a living at my mediocre job....
Citizen: .... ah, right. So, who do I make the check out to? Clark Kent or Kal-El?
Naturally, as mortal humans, we care very much about our fate and our future. Because of this, it stands to reason that we obey the people who hold some sort of influence over our fate. In the Superman example, we'd be willing to do almost anything he asked if it meant that our future would be safe. For the same reasons, we obey the government because they have the ability to imprison us or make our life pretty miserable. We pay our bills because the banks have the ability to influence our future. But all of these people can only influence our destiny up to a very specific point: our death. Beyond that point, they have no control. That realm belongs to God, and it's a major factor in why we worship him. He holds our fate, both in life and in death, in his hands. No wonder we obey him.
Honor and obedience aren't necessarily tied together, though. You can praise someone and yet not obey them and you can obey someone but not praise them. For an example of the latter, look at the government; we obey the law, but we rarely worship it.
Imagine this scenario for a moment: What if there were TWO gods, one who governed life and one who governed death? The former was responsible for creating you, while the latter is responsible for your existence after you die. They both request that you show up at their temple on Sunday morning and bring an offering. When Sunday rolls around, which temple would you be found in? I don't know about you, but I'd probably be praising the one for what he has done but obeying the other.
Fortunately, in the Christian faith, God is responsible for the beginning of life and the ending of life and everything between and beyond, so there's no question of where to direct our gratitude and obedience. Out of this realization flows the words and actions that we call worship. This is why we worship. We praise and obey Him for what He has done in the past and what He has promised he will do in the future.
So, would it matter if it turned out that God wasn't everything we think he is? Yes and no. It would be disappointing to find out that He's not quite as amazing as I thought He was. But, in the end, as long as he's the one that created me and he's the one that controls my destiny, I'll keep right on giving him the glory he deserves and doing the things that he asks of me.