Where did all this hugging come from? I don't remember it being so prevalent a decade or two ago but recently it seems all women expect to be hugged. Guy to guy it is still hand shakes - I guess we are all afraid to seem gay despite advances in attitude
I visited eastern Turkey several years ago. As a predominately Muslim country with a somewhat "macho" attitude, I am guessing that homosexuality is not in high favor. One thing that stood out to me was that all the men kissed each other as a form of greeting/goodbye in both casual and business settings. This is true in many countries.
Fear of coming across as gay has nothing to do with the reluctance of men to hug in the United States. Men do not typically hug because it is not a cultural norm. Simple as that.