Your straw man is burning. Communist would have no interest in the Republican Party so your hypothesis is moot. That is, unless they intended to enter it through stealth in order to eventually transform it. In that case you would not know they were Communists.
As far as the Sodomites, they are going to vote for someone so why not for our values rather than the left's? Must all Republicans be as pure as Caesar's wife? I'll bet there are many differences among freepers but we share enough common values to interact and support each other in those values. There are probably even (shudder) Sodomites among us.
Precisely, aside from the stealth.
Stealth isn't necessary - they announce their intention to make the Republican Party a sodomy-friendly organization.
Why do the Log Cabin Republicans exist as an organzied gay pressure group within the Republican Party? Because they want to maintain traditional family values?
No.
Because they want the Republican Party and the Democrat Party to both be irrevocably committed to their world view.