That’s a false dichotomy. But to have your ultimate allegiance to what science says rather than God is wrong. You can believe in God and be a scientist: of the first fifty scientists who began the scientific revolution, only one was not a Christian. Christianity is the mother of modern science and Sir Francis Bacon founded the scientific method. Anyone who thinks there’s a contradiction between science and God understands neither. There can be no final conflict for Augustine declared: “All truth is God’s truth.” But science has its limits. It cannot make value judgments or philosophical statements To harness science for unscientific reasons is not science but “scientism.”
Belief in God is self-evident and God says no one has an excuse for denying Him, and only fools do. There’s plenty of evidence in nature and in the Bible. Besides, Jesus came to answer our questions once and for all by rising from the dead and proving He is God with “many infallible proofs,” according to historian Dr. Luke. This fact is more attested by various proofs than any fact of antiquity.
Evidence isn’t necessarily conclusive or compelling. There are proofs pro and con. Believing evidence doesn’t make it true and denying the Bible’s evidence doesn't make it false. It must be weighed. You go in its direction according to the facts, or with the preponderance of it. You cannot disprove God because this is a philosophical not a scientific matter; it’s metaphysical, not physical. God will not subject Himself to anyone’s laboratory analysis.
People usually believe the evidence that fits their worldview and believing or disbelieving it doesn't make it true or false—called confirmation bias. Christians don't claim to know all the answers, but scientists and secularists don't know them either. If you believe in science that makes you a person of faith too; faith in science is still faith. It’s not a matter of faith versus science, fact, or reason, but faith versus faith. All of it depending upon which set or presuppositions you are willing to accept.
You are greatly misinformed if you think science has undermined the Bible. If you think there’s a contradiction you understand neither. The Bible contains dozens of scientific facts that were ahead of its time and yet no scientific absurdities. Archaeology has verified biblical references with over 25,000 digs. Many who have tried to disprove the Bible have become believers in the process, including skeptical archaeologists. No amount of evidence will make a person believe who doesn’t want to. There is plenty of evidence for the Bible if you look for it objectively.
Did you know that in 1861, the French Academy of Science declared fifty-one scientific facts that controverted the Bible? Today, none of these so-called facts are believed and the Bible was proven correct.
To answer the question, believers worship God because they love God (“We love Him because He first loved us.”) and have the Spirit of God living in them. They want to worship, not have to. Mankind is a religious being as Dostoevsky said, and if he doesn’t worship God, he’ll worship someone else. People who worship God know God and the appropriate response is a love expressed in worship. Soli Deo Gloria!