No, in point of fact it's well known that conservatives, even far right conservatives, are open to debate and welcome others to voice dissenting opinion without trying to shut them down, a tactic lefties are infamous for (and if you deny that you're just playing ostrich).
Just because conservatives may /disagree/ with your opinion, doesn't mean they'll try to ruin your life over it.
Lefties don't welcome dissenting opinion because they automatically take the stance that there /can be/ no dissenting opinion, that their opinion is automatically on the moral high ground, and therefore anyone who disagrees with them is a racist, homophobe, transphobe, sexist, islamophobe, (et cetera ad nauseum), and should be silenced and driven out of "forward thinking" society.