I didn't give a definition of either, so I don't know where you're getting any of that from, but you're wrong in any case. Not all, or even a majority, of republicans are far right. Endorsing conservative social policies, libertarianism, or being religious are not at all equivalent to being a fascist, a bigot, or a racial nationalist.

I'm getting the definitions from people who get banned on the big social media sites mapped to the left-right spectrum. Bans on left aligned people tend to be the edgy lefties while bans on right aligned people tend to be a lot of just to the right of center type people.

If you're talking about a group of people that makes up 30% of the country and a majority of one side of our two party system, I believe they'd just be "the right" not the far right.