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.
Some legislation is used purely for political theater so conservative pundits have content which can be spun into disinformation or used to incite outrage to their voter base. Truthfully, both sides do this, but one is consistently more destructive in their approach than the other.