No, your post is wrong, in addition to being ignorant.
The arrest was lawful and consistent with the Constitution, having nothing to do whatsoever with her religion.
That the likes of Cruz 'stands' with Davis, both exhibiting their ignorance of, and contempt for, the Constitution, its case law, and the rule of law, comes as no surprise.
Davis would have been jailed if she were Muslim or Jewish, or a person free from faith – for whatever reason she might defy a lawful, Constitutional court order.