So, would this be a "breach of the peace"? I know congresspeople routinely use this to get off from speeding arrests.
Looking at the precedent, the protection is construed to not apply at all to any criminal cases. Apparently it was meant for arrests under civil cases that were common at the time.
I don't know how they get off on speeding tickets though, maybe "Do you know who I am? I'm going to call your superior."