As an Idaho resident, I dearly hope not. And I'd be really surprised if such legislation did pass. Toxic extreme-right rhetoric appeals to a nontrivial proportion of Idahoans, and some politicians are pandering to the fringe of society that wants to see everything burn. But my rough estimate is that only 20-25% of Idahoans think that way.
As a fellow Idaho resident, I don't know many Idahoans that received the vaccine. But I don't know any that would want to prevent you from getting it, either. You should be free to do what you think is best for yourself, medically. And everyone I know thinks the same.