...You would find satisfaction in repressing not only the rights of your fellow Americans who happen to be homosexual (which is not a criminal offense, by the way) but the identities and self esteem of them as well?...
I also condone disenfranchising pedophiles and bestiality and necrophilia types, alongside the particular sexual deviants and perverts (homosexuals) at-issue here.
I really don't give a rat's ass about the identity and self-esteem of such sexual deviants and perverts.
...By what authority? Where does such power come from?...
Such power emanates from The People, if, in their wisdom, they ultimately decide to revert to a more righteous and sane policy.
...How would such repression take place?...
Modifying US law (pick a level, any level) to recognize homosexuality as degenerate and undesirable and wiping-away every vestige of gay marriage and even civil unions.
...What specific punishments would you accept as an American?
No 'punishments' needed - merely wiping-away the legal gains of the Gay Mafia over the past few years.
The 3% cannot hold the 97% in thrall forever.
Man-oh-man, but that's gonna be a Fun Day, if it ever comes.