I'm not so sure He did things against "His religion" as much as he did things against the way His religion/law was being "enforced". I think He fulfilled or completed His religion. (I'm not saying it right).
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Far be it from me to say what Christian is or isn't, but back in the day, that's what I was taught, that Jesus fulfilled the Law so that he could be the blameless sacrifice. The lamb. So if he's blameless, he couldn't have broken the Law. Probably broke a few Rabbi's rules though.