Both sides are bad with their killing infidels. Christianity might not be as directly violent about it, but it has had its moments in recent history. Alan Turing is a famous enough example of the means and methods used in this direction. Less famous are native and minority sterilizations en masse backed by religious “charities”, the specifics of which i can’t recall at the moment.

Though eugenics isn’t behaviour specific to religion, it seems to require cult like beliefs in order to enact in large amounts. Nazi Germany, Russia under Stalin, China under Mao and maybe even now with the Uyghur, removing deviants isn’t something Christianity alone can claim ignorance of.