The D-series Engines (civic motors) have been swapped into Integras before, it basically comes down to wiring.
Heck, In Japan, they even have a D-Series powered four wheel drive Integra:
Integra ZXi
But in the newer "DC" chassis, they had D-Series powered ones as well. Although they had the 127HP D-Series motors in them.
the D15Z1 from the VX coupled with that long gearing and heavier chassis would make a for very slow take off from any dead stop, but if you have the means and the know-how and the patients for it..go for it!