I don't see two factions really. The reason they installed Biden and Kamala, who are absolutely ridiculous choice for presidential candidates even by clown world standards, was to make Trump more appealing. Anyone who's paying attention to the big picture will notice that tptb use both parties (both sides of the dialectic) to further their agenda.

As long as people root for one or the other party, they will cheer when their team wins, even if the actual win has nothing to do with the supposed platform of the party even a few years ago due to Overton window.

This process was described in the Protocols of the Elders of Zion. It's nothing new really, this is how politics is ran ever since the freemasonic revolutions of the Enlightenment 250 years ago.