Yes there are the pence social conservatives and the trump nationalists. However, few of the said nationalists oppose religious freedom, support gay marriage, or support abortion. Just like in any party there are factions. I would say the dems have that issue with the far left and more moderate wings as well as the socially conservative minorities.
And where are the libertarians in your little system?
I am a libertarian conservative and I guess libertarianism would be the 3rd kind of far right. However when I think of far right, I think of some type of authoritarianism but libertarians differ from the far right on this.