"Republicans would push out two men from the third most powerful position in the Nation, over moral indiscretions..."

Nope. The Repubs didn't push them out for moral indiscretions. They pushed 'em out to avoid bad PR (even they could see the astounding hypocrisy). In at least Newt's case, the indiscretions went back to the mid 1970's, and the push-out didn't happen 'til 20 years later (when the media spotlight hit 'em). All about morals indeed.