Well, as a Christian myself, allow me to provide a data point for your questions:

"Do you think the evidence goes more for or more against your belief in Christ?"

(from the grandparent post) More for.

young-earthers who obsess with clearly false evidence

Young-earthers fall into a trap; there are parts of the Bible that are not intended to be taken literally (Jesus' parables are a good example). Genesis (at least the garden-of-eden section) is an example of this.

And then I would ask them: if the evidence was different and was in fact strongly against Christianity - if new evidence was found or existing evidence disproved - would you change your opinion and stop being a Christian?

It would have to be massively convincing evidence. I'm not sure that sufficient evidence can be found (but see next answer). I've seen stage magicians do some amazing things; the evidence would have to be convincing enough to convince me that it wasn't someone, with all the skills of David Copperfield, intentionally pulling the wool over my eyes in some manner.

Would you want to change your opinion to match whatever the evidence turned out to be?

In the sense that I want my map to match the territory; yes. In the sense that I do not want the territory to be atheistic; no.

I wouldn't mind so much if it turned out that (say) modern Judaism was 100% correct instead; it would be a big adjustment, but I think I could handle that much more easily. But the idea that there's nothing in the place of God; the idea that there isn't, in short, someone running the universe is one that I find extremely disquieting for some reason.

I imagine it's kindof like the feeling one might get, imagining the situation of being in a chauffeur-driven bus, travelling at full speed, along with the rest of humanity, and suddenly discovering that there's no-one behind the steering wheel and no-one on the bus can get into the front compartment.

...extremely disquieting.