Damn straight. Aerosmith too. The first gig my band ever got when I was a singer/guitar player/songwriter in a band in grad school was in the same venue where Aerosmith got its first gig, oddly enough. No doubt, it's an excellent choice of bands for a the story's soundrack.
But I drive an 2009 VW Jetta five-speed. Never had a truck or SUV. Although, the Ford Explorer seems more libertarian than the Jetta, and it's definitely more macho. Also, it's more likely to actually make it to the caucus on a snowy day, so it's probably a better prop for the story.