Do they? I'll grant you the first part, as that's the point of a religion, but it doesn't seem to automatically imply the second.
The earliest Christians, very famously, went to their deaths voluntarily while publicly forgiving their accusers. While medieval Christians slaughtered thousands trying to retake the holy-land. It's pretty reasonable to argue that those two groups had relatively similar core beliefs, but hard to argue that they had the same actions.
Unless you want to count farming as an action, the vast majority of adherents to basically every religion were, historically, farmers whose lives we know very little about.
It seems much more likely that a group being in power causes the effects that you see. Basically every group has an in-group bias.
The same way you can associate conspiracy theory nationalism with Qanon believers, you can associate supernatural supremacism (i.e. "chosen by god") with Christians, Muslims, and Jews. While these religions may promote healthy behavior for "in group" morality e.g. community, family, etc. the effects on a geopolitical scale are catastrophic.