Most muslims are like most christians, in that the majority are fairly liberal and not hate mongering backwards/ultra conservative people etc.
If you're speaking of Muslims and Christians in the UK, that may be a matter of discussion (even though I'm quite disappointed by some figures above). In other world regions, particularly in "native" regions of Islam, the situation is quite different. I've seen statistics concerning some Islamic countries, and they're outright scary in my view. More than 70 percent in Pakistan for example think that an apostate must be sentenced to death...
It is quite simplistic, I think, to draw a parallel between Christianity and Islam, and more so between Christians and Muslims. One key difference between the two religions is the relationship with the sacred text: it is a generally accepted fact that the New Testament was written by different
human authors at various times of the 1st century (though inspired by the Christian God as some believe).. in the case of Islam, it is unanimously believed that Koran is the literal word of Allah, with Muhammad being a mere passive and faithful transmitter (their prophet's sayings and accounts are collected in separate books)... this belief is the main roadblock to any critical analysis of the Islamic holy book among Muslims, and the reason why it's hard to be a liberal Muslim thinker...
And the gap becomes more visible if you look into demographics: most Muslims live in countries with high levels of illiteracy, poverty, highly conservative and/or dictatorial regimes, etc. which means that any form of free thought and critical thinking required to deserve the nomenclature "liberal" remains the privilege of the few (many of which apostatize)... we may discuss perhaps whether there are truly moderate Muslims, but I think it's too early to speak of any serious liberal movement in Islam, let alone a liberal majority among Muslims...
