I can understand the dilemma, but I would not do it. As others have mentioned, if you have this position on your resume, other people looking at it, including future employers, admissions reps, etc. may assume you share the (presumably well-known) views of the senator. You explain that, in fact, the views of the senator are abhorrent to you, but that will put you in the position of having to explain that you took the position, and possibly asked the senator for a recommendation, although you actually disagree with everything he stands for. That’s not a good look for you. I really don’t see any way that this could help you unless you decide to cross the aisle.
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