I think for some strange reason the Koran trumps everything else for them. Go figure. Muslims are against everything that they have been for for decades, homosexuality, women's liberation, separation of church and state, censorship, wars and the list goes on and on. I imagine the Muslims would be anti marijuana and drugs also which is a big part of life for many libs.
It seems that what libs are actually against more than anything else is the true God of the Christians and the Jews who Muslims are the greatest enemy of. The greatest enemy of my greatest enemy is my best friend?
That seems to be the case. In just this past decade, well over a hundred Saudi Arabian homosexual men have been convicted of homosexuality. Some have been executed, many other have been lashed - which is a brutal and barbaric punishment.
Similar events have transpired in Iran, Malaysia and other Muslim theocracies. However, this aspect of Islam is virtually never spoken about in the media. Your observation can be the only explanation why - "sensitivity" to Islam trumps all, even the most orthodox liberal positions.