You think that communists have infiltrated the Republican party, the right-wing party of a country that's known to be center-right by global standards. That's a far stretch just on it's lonesome . . .
. . . but then you insist that these 'communists' hate Trump because they wish to sustain their aristocracy? Which is it, are they communists, or are they plutocrats? Plutocracy is inherently antithetical to Communism, which seeks to topple the ruling class, seize the means of production, and end up with a classless, stateless society.
As for 'Lincoln Batalion' being similar to 'Lincoln Project' . . . no, they aren't. Abraham is one of the most beloved presidents of our nation's history, and the Republicans absolutely love to remind us that he was one of their own, regardless of whether or not they actually espouse any of the reasons that he was and is so highly praised. His name is on stuff. Lots of stuff. The pattern-seeking part of your brain is simply working too hard, my friend.
Is it really that hard for you to beleive that the entiriety of your party, or the entiriety of right-leaners, are not in lock-step with your dear leader? Do people not diverge from their party leadership in your reality? Is it neccessary, so that you can sleep at night, that you concoct some incoherant hypothesis about communist aristocrats?