So, you know how BioShock Infinite does that extremely jarring thing of applying the typical lib anticommunist "both sides suck" thought terminating cliché to a slave revolt? That's probably a product of rewrites.
In early interviews, Ken Levine talks about the Vox as "starting as kind of a student movement, working to unionize workers, protect rights of minorities" and an "internationalist movement, a worker's movement". IIRC there's even some vestigial elements of that in the final game, like the red color scheme, and an audio log that unsubtly draws a parallel between the Vox and the khmer rouge, something about going after people with glasses/intellectuals (I might be missremembering this last one, since I couldn't find it by CTRL + F on a transcript).
The Tea Party cost too much. It was financed by oil executives and the Koch brothers to simulate a genuine grassroots movement, but was in practice campaign funding and propaganda. Various Tea Party organizations got investigated by the IRS in 2012, and that was enough to make the billionaires lose interest. They were getting diminishing returns anyway.