Many of my friends were young-earth creationists. It's not a topic I hear much about anymore, but I've had many lively discussions about it.
YEC is interesting because there are different ways people think about it in relation to science. The most straightforward would be to claim something like "God created the universe with the appearance of age", so that it would be actually < 10k years old, but appear billions of years old.
Such a theory is consistent with scientific findings, albeit falling prey to Ockham's Razor, and violating the principle of Uniformitarianism, both of which are probably pretty crucial to the Philosophy of science.
Theologically this approach isn't quite as jarring as it may at first appear. I once heard it put as a question: "Did Adam have a belly button?" If he did, then that's not really all that different from "the appearance of age" in general.
For me personally it still didn't sit right with me, and I also disagreed with the general interpretive approach taken to scripture. Genesis isn't a scientific textbook and I don't think it should be read that way. I highly recommend this book for an alternative interpretation: https://www.amazon.com/Lost-World-Genesis-One-Cosmology/dp/0...
In general I think science is very important and undervalued in the christian community in general and that's unfortunate. To give just one Biblical example, King David spent years tending a flock of sheep by night, with nothing better to do than stare at the stars for hours on end. As scientifically illiterate as he was, he still knew a lot more about the constellations than I ever will.