If you see mass protests, it'll go beyond the type that identifies with political labels. I also predict that it'll be embraced by the left more than the right.
I don't think you understand just how peeved the right-wing is exactly. I also have been talking to dyed in the wool liberals, who are starting to question the federal government's role in society.
That said, R-W ones are more likely to be peaceful, although much larger in number than left-wing protests. L-W protests will tend to be smaller, much more violent, and completely pointless.
The only way the R-W will start to get violent, is if police or L-W protesters start getting physical with them.
Of course, if the system comes down, the federal government's role in society is about to become much, much larger.
As for protests, I just don't see the right wing being very effective at protest. Even at the height of the GOP 2010 wave, Jon Stewart could mobilize more people than Glenn Beck.
Plus, the fundamental issue is not the government's role in society, it's economic depression and inequality.