Two ways of dealing with backscatter x-ray devices. Either blocking it, or actively jamming it. AFAIK, FCC regs don't touch on the x-ray portion of the EM spectrum, that'd likely be the Nuclear Regulatory Commission. It may be entirely possible to legally jam backscatter by continuously emitting x-rays, preferably tuned to the exact medium that the feds/cops are using. HERF and EMP are illegal in the US, per FCC regs.
Blocking is rather interesting. It's may be legally problematic to install copper mesh in your walls or TEMPEST proof your house for the express purpose of blocking RF spectrum, consult a lawyer for a definitive answer. I assume the same is true of your vehicles, but I've never heard of anyone previously trying.
Edit: For better clarification