http://www.dailykos.com/story/2016/1/22/1473694/-Ted-Cruz-I-...
That being said, anything can be part of your identity, you can define yourself as punk rock if you want. What I mean and thought you understood is the difference between what is intrinsically you and not. Yes of course, to many, religion is important like veganism can be. But it remain a mere choice to keep it that way.
Apostasy is always a possibility and that makes it different in a way that equating both kinds of identities is lessening the damages one sustains when attacked on a fundamental part of its person-hood. If your race is criticized, that's an attack on your humanity. If someone criticize your belief system : meh none is challenged otherwise than on a thought level.
Also it's disingenuous that you say religion is not a part of a person's identity, when in fact there are people to whom it's an important part of their identity as a person. Sure you can argue relision is a choice - and I can grant you that - but then it's the same with non-gender-dysphoric transpeople;they just chose a different gender than their biological sex for an arbitrary reason.
Since that even in the most fundamentalist country, the most devout person has technically the possibility to personally wake up and change his mind (apostasy), religion is fundamentally an other, lesser kind of identity. As being vegan.
Giving religions more respect than they deserve is wrong and extremely dangerous. See Salman Rushdy and Charly Hebdo to see what this kind of thinking leads to.