Yes, you get up to a 400 lb weight allowance for any APU, but not all states honor it. You have to have documentation in the truck on the weight of the unit (whatever the weight is, is the allowance you get - up to 400 lbs), and you have to be able to prove the unit is functioning. You're also going to want a copy of the law, because I'm sure you'll run into officers who don't know the law.
http://frwebgate.access.gpo.gov/cgi-...=f:publ058.109
The actual law in the link above:
(c) Vehicle Weight Exemption.--Section 127(a) of title 23, United
States Code, is amended--
(1) by designating the first through eleventh sentences as
paragraphs (1) through (11), respectively; and
(2) by adding at the end the following:
``(12) Heavy duty vehicles.--
``(A) In general.--Subject to subparagraphs (B) and
(C), in order to promote reduction of fuel use and
emissions because of engine idling, the maximum gross
vehicle weight limit and the axle weight limit for any
heavy-duty vehicle equipped with an idle reduction
technology shall be increased by a quantity necessary to
compensate for the additional weight of the idle
reduction system.
``(B) Maximum weight increase.--The weight increase
under subparagraph (A) shall be not greater than 400
pounds.
``(C) Proof.--On request by a regulatory agency or
law enforcement agency, the vehicle operator shall
provide proof (through demonstration or certification)
that--
``(i) the idle reduction technology is fully
functional at all times; and
``(ii) the 400-pound gross weight increase is
not used for any purpose other than the use of
idle reduction technology described in
subparagraph (A).''.