In the Middle East at least, the hijab is very much considered by most to be a mandatory religious rite. Some dispute that, but it is, nonetheless, the view of most people, even those who choose not to wear it. So many girls are either directly forced into wearing it (because many religious Sunni Muslims think that NOT forcing their girls to wear hijab counts as a sin on the parents (God keeps a tally of your good and bad deeds to determine if you're going into heaven)), or indirectly through normal socialization means (you'll go to hell if you don't; you're a whore if you want strangers to find you attractive; hijab maintains a woman's self-respect and dignity; etc). Also, niqab or burqa or whatever you wanna call it is on the rise. Growing up in Jordan, I never saw a woman with her face covered. When I visited a few years ago, it had become somewhat of a common sight. For some Muslims, the hijab is no longer sufficient, and the women are now forced to cover their faces as well.
To me, a burka is a **** "tradition" that barely meets the standards for what is consensual. I don't see why sucking it up and allowing an alien tradition that a society sees as harmful and oppressive is a position worth fighting for. That said, I am sympathetic to Dalamon's argument about alienating Muslims and hardening salafist attitudes. That is a possibility. But it is also unrealistic to expect that level of stoicism and moral relativism in a human society, even if what he's saying is true.
And good job on the **** trophies term. It's hilarious, and I'll be stealing it.