One of the reasons the Constitution doesn't have any of the dang "Noble Cause" clauses that so many narrow thinkers seem to think it should....
The Regimes you speak of don’t bother with such.
The founders had no problem with capital punishment for sodomite offenders.
Sodomite offenses are not in the same class as God honored relations between husbands and wives. (The marriage bed is undefiled).
I'm also all for reinstituting the death penalty for adultery. We wink at God's created *ORDER* and instead celebrate disorder. When we reap the inevitable consequences, we wonder why and refuse to accept the only workable corrections given by God himself (Leviticus 20:13, Romans 1:27-32).