OP, don’t apologize to your kids for instilling a belief system that you all willingly share. There will be plenty of times in life when they will have to stand up and act on what they believe, and at some point (soon) they will have to make life decisions that you may disagree with.
While I wound up at a flagship that didn’t jibe with my beliefs, you can be darned sure I moved to a place that did after finishing college!