OK, you're going to have to tell me how science argues for a 6,000 year old Earth. Please tell me how to discount fossils, petrified wood, ice layers in glaciers, even things like stars.
If you truly believe that science argues for YEC, then you either don't understand science, or you simply choose to believe otherwise. That's your right, but understand you're making some pretty extraordinary claims, and the burden of proof is on you to show your work.
For the record, do you believe God would create physical laws and scientific principles that serve to HIDE His creation? For that is what the YEC crowd proposes - God created everything 6,000 years ago and set up physical laws that prove otherwise.
I choose to believe God is not deceptive, personally.
I believe that science today is very deceptive. Scientists have to have physical answers. All the answers have to point to evolution so they do. Evolution gave an answer to a theological problem.
How are fossils that are dated by the rock layers that are dated by the fossils found in them reliable? Also, what do you do with living fossils like the ginkgo leaf, coelacanth, scallop, dragon fly, ants, sharks, and cockroaches? These animals are supposed to have evolved to some different form but yet the fossils they are finding from “millions” of years ago look the same as the living creatures do today. What do you do with the eye of the trilobite? These are some of the oldest fossils we have but the eye is the most complicated that has been seen. If evolution is true, they should be simpler than what is found today.
What about recent tests on diamonds and coal that have found the carbon-14 levels to argue they are only thousands of years old and not millions?
I will admit that I cannot make arguments for the creationist view according to the petrified wood and ice layers you mentioned. I will also admit that I do not know why we can see light from stars that are millions of light years away. My honest opinion is that God created a world that was fully functional, meaning that the light from those stars was visible to earth from the time of creation. That is the best theory I have.