no, no, no....
B18c5 is the Type-R Motor, and yeah, its about $4,500, sometimes less.
the GS-R is the B18C1 and its about $3,000 to $3500, including engine, trans, ecu, wire harness, cv axles and intake manifold.
email me or pm me for some good places to buy the motor online, i put the B18C1 in my 94 2dr ex.
just need to check around, oh and talk to people who know what there talking about. (like the mechanic at your local shop)