It would be very dangerous precedent for any elected group of officials to be able to "vote" on the eligibility of a specific private citizen to run/hold office.
I mean, that is like Russia and China territory.
I am certainly open to reasonable, blanket conditions for being able to run for public office - certain age, not a felon, specifically found guilty of certain crimes, etc. But those criteria need to be the same for all American citizens. If you start changing the rules because you "think" one specific person is more or less dangerous, that doesn't pass muster to me. And I think the Supreme Court would agree with me.
Now, if there is a prosecutor that wants to try and convict Trump of something, has the evidence (which I think is flimsy at best) and find and prove it to a jury of Trump's peers, then go for it. If Trump becomes a convicted felon, that likely could/should exclude him from running and holding public office.
But we are a long way from that happening.
And this is coming from someone that desperately hopes Trump doesn't run for office again. I think he would not win in 2024.