Glue

Epoxy would probably be best.

What Bill said...  sorry, I really don't have anything constructive to add.  I just wanted to mess with your title...

Aw man,all those years of sniffin Elmers glue .....just used the wrong glue.The epoxy wont affect the styrene?

What are you wanting to do?  Elmer's white glue will work provided you do not need strength in the bond.  Superglue if all you need is a moderate strength.  Contact cement if you want it permanent.

I generally use the gel CA for smaller pieces.  For large areas, like most other replies I use epoxy or even white glue.  White glue certainly does not bond as strongly as epoxy, but for large areas you do not need a very strong bond.

Do NOT use ordinary non-gel CA.

Basically a  van type vehicle with a rounded front.Once I get the wood carved sanded to shape I want to wrap it in plastic.

Why wrap in plastic? Wood can be finished as smooth and glossy as plastic. If there are any compound curves it will be very difficult to sheath.  You'll have to plank it with small pieces and do a lot of spiling.

Its a Fageol moving van from the 50s and its basically a brick.I did one in wood years ago and just wanted to try plastic.

What ever you do dont use the testors red tube cement it attacks the plastic and won't stick well to the wood

 I found that out by trail and error.............................