I don't think God and scientific observation are as at odds as many people like to believe.
There are many theories of creation besides fiat creationism, where everything was created 6,000 years ago in six literal days. The day/age theory believes there were great expanses of times between the days. "Day" is used in many scriptures figuratively for a period of time, like, "in that day." And in the day/age theory the days of creation can be ages of millions of years between the days.
You can find marine fossils of extinct animals at the tops of mountain ranges that were once part of the ocean floor. Not only does South America and Africa look like they fit together like pieces of a puzzle, but you can find similar mineral deposits along each's shores showing exactly where they once fitted together, even lava flows that compassed both continents when they were once joined together.
A problem Christians have is they often believe a very narrow interpretation of creation that the world can easily recognize as nonsense. That's really at the heart of what you're getting at with God vs science.
If you compare the days of creation in Genesis it matches up fairly well with the order science gives. First you have God creating the heavens (stars, etc.) then the earth.
Comparable to science the earth begins as an empty world without a set form, then you have dry land followed by oceans. You have plants before intelligent life. The first intelligent life is in the sea. Then you have birds. We know today that birds are descendants of dinosaurs. Mammals didn't rise until later. Science and the order of creation are following the same order.
On day 6 the KJV says, cattle, beasts, man. The Hebrew word translated cattle is mammals in general. Beast is a more specific wild animal, and then man. If you categorized these scientifically it would be class, genus, species. So far science and Genesis are uncannily similar in the orders they describe.
Something else to consider is that Adam and Eve were not created until after the seventh-day, and in a day/age theory the man on the sixth day is not the same as Adam "after" the seventh day. Could it be that science is correctly observing the order of creation? It would certainly make sense that science is obseving the way creation is ordered.
This would explain cave men, and where Cain and Seth found wives, if man created on the sixth day is different era from Adam created after the seventh day.
Now, I believe the bible is without error. It's more amazing to me that scripture could line up with the same order science gives for the creation of the world.
Now, many Christians have a narrow view, to where they put God in a box and not allow Him to work in any sort of an evolutionary process. That is dictating to God how he must have accomplished his creation.
Look at the different animals that have developed in Australia. The Aborigines people have been there for 35,000 plus years, and have developed an internal organ that no other race on earth has. They have a scent gland on the sides of their faces. It's because they were isolated in Australia.
There are other theories of creation: day/age theory, theistic evolution, etc., that allows the creation story in Genesis to agree with observable science and not make Christians look like such narrow minded idiots.
1. You brought up apes, of how you don't look like one. On day 6, when it speaks of mammals, beast, and man, in that order, is that the order we derived, and can we equate beast with ape?
2. The egg came first since the genetic alteration that became the first chicken was in the egg.
3. God created the alternate spiritual realm including heaven.
4. We fail to hear God our of our own stubborness.
5. People say there is no God out of foolishness. "The fool hath said in his heart, 'There is no God'" (Psalm 14:1).
6. I'm not sure who would say God is not happy with us inventing medical devices that help people. James 4:17, "Therefore to him that knoweth to do good, and doeth it not, to him it is sin."
7. Malachi 3:8, "Will a man rob God? Yet ye have robbed me. But ye say, Wherein have we robbed thee? In tithes and offerings." The percentage drops because people have difficulty parting with their money.
8. If the universe came into being in a big bang, then God thought it up.
9. Seeing how God cannot be disputed, there are no great books disputing God.
10. My sister-n-law was in a coma and a large area of her brain was dead. Another person and I were praying for her, and I felt the person of Jesus tell me she had her healing. It was so strong I had to tell the person I was praying with.
She was healed. Her doctor told her that it was medically impossible for all that brain dead area to come back like it did. She went on to college and had an A average. That disproves science (since it was medically impossible) and proves God, Matt. 19:26, "But Jesus beheld them, and said unto them, With men this is impossible; but with God all things are possible."