dont even try to mod the car unless you are a baller. the time and money it will take, not only to put the engine in your car, but to get it running right, would be more than you can afford.
beyond that you will be left with a car that can't handle well and that is slower than the vehicle the engine comes from (the new civics are PIGS, theres nothing to gain by puting integra engines into civics anymore, ofr th emoney, just buy an RSX)
not to mention it will kill the resale value so much.
by buying a type-s you will gian basically the same car you'd get out of this + better handling + a warantee and support from honda. if you do what you are planning i'm telling you now IT IS NOT WORTH IT AT ALL! you will be WASTING MONEY LIKE CRAZY.
your best option is to stick with the car you have and then save the money in the bank in a CD or something until you ihave soemthing to spend it on.
and for the record:
the srt4 is not a neon deep down, it's an SRT-4 deep down, and a neon on top.
it was pretty much rebuilt from the ground up.