Different people have different values. It’s not that anyone’s values are necessarily wrong for them, it’s that when you impose a “win/lose” system someone is going to be on the losing side.
Just a couple of examples–
Compassion for refugees vs defense of “your culture”.
Compassion for LGBTQ vs respecting the rights of those who aren’t.
Compassion for rape victims vs compassion for the falsely accused.
Values clash. Or they can seem to if you think it has to be either/or.
But anytime they appear to clash, liberty is the solution. Respect for everyone’s life, liberty, rights, and property. It’s where the balance lies; how you respect both sides without enslaving either one to the other. Anything less is uncivilized.