If the Pope was still condoning inquisitions, would America walk gingerly around that? Hell no!
You’re absolutely right.
To Christianity’s regret it has become involved with governments of all types in its long history...everything from aristocracies to democracies. But, that points out that Christianity has no preferred form of government.
Islam, as a theocracy, has a clearly preferred form of government, a caliphate. IOW, a dictatorship.