So do you only follow the parts of the Bible that are Christ's words?  If that's the case, then you certainly don't have much to read, do you, given that the Bible was written by everyone but Christ.

Muslims are equally free to interpret the Quran as they see fit.  there are numerous verses in it that I disagree with, and I have debates and disagreements with my friends about them all the time.  

As for your comment about Christian countries moving towards female equality, both Pakistan and Bangladesh have elected female Prime Ministers in open, free, democratic elections.  Have Canada or the US done this yet?  I guess women aren't so oppressed after all, eh?