Tamiya primer is a laquer. I don't know about their color sprays though. I would **NOT** recommend soaking the model in laquer thinner. It will dissolve the plastic over time.
Here is a link to some stripping ideas on Bonedigger's site:
http://www.bonediggers.com/1-3/strip/strip.html
I personally prefer Castrol Super Clean but it doesn't do a very good job on laquers, at least not in my experience.
Personally, I think I'd first try to smooth the surface with some very fine steel wool or ScothGuard pads and then just spray another coat of primer. Worst case you lose some surface detail but if you are careful with the sanding that should be minimal.