Maybe the Republicans did not object because unlike some posters they actually read the guy's resume and decided he was the best candidate regardless of being gay.
The two characteristics are mutually exclusive, and have been for the last 250 years of this nation's existence, and for the last 2,000 years of Western civilization as well.
In 1787 they hanged people for sodomy. Up till the 1960s, they tossed them into mental institutions.
Most homosexuals have sever psychological problems, and I do mean SEVERE. They are anything but "gay" in the original meaning of the word. The number one cause of deaths among homosexuals is suicide, (same with transgenders) and they tend to be rampant with very nasty diseases.
Again, the Military has barred them from service for the vast bulk of it's existence because they are not considered mentally stable.
What has happened is that Hollywood and the New York based media launched a propaganda campaign that has culminated in the public being fed a lot of crap about Homosexuals, how they behave, and what they do.
If you want to get an "not for public consumption" example of what they do, check out the Zombietime section of PJMedia.
The annual Folsom street fair has been documented pictorially.