Probably just fine since they can think for themselves.
My two oldest are in big (name) universities and have not had the rabidly leftist professors that we so often hear about, but then again, they are computer majors.
The few that spout some leftist drivel, they just roll their eyes about, and ignore.
Yes, I believe they’ll do okay. Our daughter and son did fine with the libs in college and they weren’t homeschooled. Our son had spent four years in the Army before college and he kind of pressed his conservative views which didn’t go over too well with some of the leftist profs. lol