Non-interference means if the timing belt inside the engine blows, it won't cause extensive damage to the engine, like most other engines.
THe 3.5L was the only engine put in the US spec version. 3.2 was only one in JDM models. I believe the 3.2 is in the US spec Rodeo however...Gizmo Dave am I right on that?
EDIT:
Read this post:
http://www.vehicross.info/forums/sho...55&postcount=8