OP, I was raised by extreme agnostic/new age liberal parents (they had an open marriage, grew pot in the backyard, had very few rules). They called themselves (or at least my mom did) intellectual hippies (my dad is still an agnostic Jew; mom’s no longer alive).
When I came back from college after my first year as a Christian, they were certainly shocked and dismayed, and we (including my sister) had many conversations about it, and certainly they questioned my beliefs. They eventually came to accept that my faith in Christ was core to my being, but my mom always tried to change/influence my kids to her new age-y point of view as often as possible. She was a loving gramma to my kids, and I am grateful for her help, but there was a point that I pulled back somewhat for a variety of reasons (including her lifestyle)-never stopped loving her, though, and was always there for her right to her last days.
I was attending a private (presumably liberal; I honestly don’t remember) college when I became a Christian, fyi.
As far as my own kids, they are finding their way. Of course our deepest desire for our kids is that they would be Christ followers, but we know that is out of our hands and in God’s hands. Older boys both went to liberal secular colleges, but both found Christian groups on campus. I actually think attending a secular school for a young Christian might be a better thing because you are forced to really think about what you believe and why. However, I will admit that there are some liberal schools that might be really oppressive to a Christian, just as there would be some conservative schools that might be really oppressive to someone with socially liberal views. A fascinating read on that topic is the book by Kevin Roose, The Unlikely Disciple:
https://www.amazon.com/Unlikely-Disciple-Semester-Americas-University/dp/0446178438