This Usage, is Really Starting to Piss me off ...Within the 20th century, it won't happen completely. The Cold War era US won't tolerate too much political upheaval, and it would be easier for the Republican party to realign itself from within like it did in OTL than for a new political party to build their support level to an extent that they can be ingrained in the law the way the two dominant parties are.
There are too many people who will never want to be part of the Democrat political machine, and their opposition would rather not go through the struggle of building a new party from scratch. It's possible the Republicans wouldn't look anything like they do today, and maybe even go as far as change their name.
The Proper Cognate, is Democratic ...
Otherwise, you Sound Like you Have Glenn Beck on Speed-Dial, Ok?