Is the death penalty for sins of lust a proportionate punishment?

In the New Law, is the death penalty for sodomy (or other sins of lust, like fornication or adultery) a proportionate punishment? In other words, do Catholic theologians say legislators are morally permitted to write a law requiring the death penalty for homosexual or other acts of lust? Under the Old Law, Lev 20:13 did proscribe sodomy with capital punishment. cf. this post to the CathInfo thread "What Trump policies show he is pro-abortion or pro-sodomy? "