I thought for a while, but couldn’t come up with definitive proof that it’s assur to drink from wine that was touched by someone who doesn’t believe in evolution or that the universe is 14 or so billion years old.
The closest I came is that I say every morning, ????? ?? ????, and there is a pasuk, ???? ??? ????. Even so, this is not a productive way to think or act when dealing with fellow Jews whose beliefs are not quite like mine, converts or not.
And so, when real yeshiva boys come to me for Shabbos (Mir, Brisk-Rav A.Y. Shlita, R’ Tzvi Kaplan Shlita,etc…), I open a non-mevushal bottle of wine and let them touch it and drink it without making their personal beliefs an issue.