Depends on the teaching of the particular religion or political ideology.
I can tell you which one is more powerful: Religion.
The answer is political ideology... study history, “religion” only becomes deadly when it morphs into political ideology. One that demands (like Marxism, Fascism, Islam) your compliance at the point of the sword. Preachers that warn of Hell, cannot act to enforce it on you without an accompanying political ideology to make it happen. In the middle ages the punishments of the Inquisition were executed by the civil (political) authorities. #ThinkAboutIt!
“Powerful”? In proper faiths, people do not surrender their minds. This does not include cults such as Islam, which share much in common with socialist state techniques.