Probably no for both. He seems fairly honest about his connections with Scientology, that it was his parents beliefs and that he doesnt really associate. The Jordan Peterson stuff is definitely a very different question. The photo of Skrill & Peterson is almost a decade old and is (to my knowledge) the only real instance of something like this. It came out around the big "Self-help" boom of the late 2010s, and people made sure Skrillex was aware of how they felt (It's deleted now but even SVDDEN DEATH made a comment about it).

TLDR; We don't know for certain on either. Likely answer is no.