To be fair, the places where you would get sources are being censored big time. For example, Bret Weinstein had to take down all of his podcasts from YouTube talking to actual qualified doctors about the side effects. Twitter and Facebook will censor in the same fashion. You won’t hear any of the dissenting voices on TV, unless you watch something like OAN I presume, but I’m not sure what hey talk about on their channel. In a climate like this, it’s hard to dig up sources.
Personally, I think this is a choice between each individual and their doctor. Nobody without a medical license should be telling others they should get vaccinated or they shouldn’t.
As for everyone complaining about it getting politicized, everything gets politicized. Because politics encompasses everything. It’s just the way it is. In this country, one side will argue for policy to reach a certain goal and the other will argue against it. The democrats want vaccine mandates. The republicans want it to be available to all, but leave it to the individual to decide.