Even in the US, "left vs right" on the death penalty is an oversimplification. A pretty good summary can be found here: https://deathpenaltyinfo.org/facts-and-research/religious-st... ... Anecdotally, as a religious person, I'd say that most Catholics I know either oppose the death penalty or would want it to be much more limited than it is now.
I once had a surreal conversation with a Jehovah's Witness priest who was proselytizing on my campus. It was around the time of the Iraq war, and he opened with something like "if killing is wrong, why do we have the death penalty." I managed to use Saddam Hussein's alleged human rights violations as a rhetorical lever to justify the killing of one to prevent the killing of many. As a supporter of neither the death penalty nor the war on Iraq, I've never walked away from a victory with so much regret