It's a "doomed if you do, doomed if you don't" situation. If you reveal something truly heretical (perhaps supporting eugenics or something), you risk offending the interviewer and ending the interview early, even if it's completely irrelevant to the job position. If you reveal something that's actually fairly mainstream, but slightly fringe (e.g. K-12 education should prioritize trades, not college), you could be marked as uninteresting.
It's just another case of "do you interview well". An interviewer should try to control for nervousness, unless they need someone truly outgoing/confident. And asking someone to reveal something very personal is the opposite of that.
An interview should measure competence for the job first, and additional traits second. I'd much rather have a technical question, followed by a discussion on alternative solutions and why they might not be a good fit. I want to see how they reason about a problem, and I feel like that might give me insight into what Peter Thiel is after.