I just installed AAM's resonated short tails and, yeah, the entire car buzzes at certain RPMs.
It was really bad until I pulled the muffler heat shield off the bottom of the trunk pan... It's a super thin bit of sheet tin about two foot square held on by four nuts, and pretty much exists to rattle.
I also had to put a thin bit of closed-cell foam behind the rear license plate... It's about an eighth-inch thick, and I just cut it to the shape of the plate, rtv'd it to the plate, and bolted it all down.
After that all I have is the whole-car buzz at around 3-3.5k rpm. By this I mean even the headliner buzzes...
Part of the loud exhaust issue is there is zero sound deadening in the car, if
anything rattles, you'll hear it. And the short tail exhaust has some outrageous harmonics to cause rattles with.