If the same laws and protections we enjoy in the west were applied in Muslim countries their crime statistics would be off the scale.
That's a hell of an assumption and not my experience. I've visited a fair few Muslim countries and also am friends with someone who's ridden their bike through eastern turkey and Syria and never felt threatened. Anecdotal I realise , but still an indication.
I realise there are countries where women's rights and the treatment of women (Iran in particular) is shocking.