Typically, when bridging, you'll find that most linear distortion components will cancel out (good) but that crossover distortion will be doubled (bad). That said, crossover distortion in car amps is generally pretty bad already, and most people don't notice it. That's probably because, being inharmonic in nature, it doesn't show up in the THD test cited on the spec sheet
On the upside, you'll obviously be able to drive your speakers to higher volumes without clipping, and that's a good thing. Obviously, if you start reaching the excursion limits of the drivers, you should turn it down a bit before you break your fancy system.
In short - if it makes your system sound better to you, why not?