The question is, what do you want to believe? What a liberal tells you he believes about Islam, or what a conservative commentator tells you liberals believe about Islam? If it's the former then hey, here I am. If it's the latter then I can't help you.
Example. There is no unemployment in the Muslim country of Bahrain. Know why? They kick out any man who doesn't have a job. What do you think Muslims would do to men who didn't have a job if they ran the world?
Women treated like crap in Muslim countries. Liberals support full equality of women to men. Liberal women are most likely to be feminists, not something supported by Islam. Homosexuals are killed in many Muslim countries. Liberals support gay rights heavily. Liberals support keeping religion out of schools, not just Christianity, but all religions. Not something Muslims are for.
Your view of liberals is very far detached from reality.
"A woman is like a teabag, you never know how strong she is until she gets in hot water." - Eleanor Roosevelt
Keep your religion out of other people's marriages.