did you put an itr motor in your integra? or did you have a gsr integra? with the b18c1?
if you actually were pulling flat 14's out of your integra, you shouldn't have any issues racing any rsx especially stock.
your story is confusing.
first tell us what kind of motor you have, ITR, or B18c1?
First step is always to see if you installed the engine right.