I'm not talking just about speed and acceleration, that might be where we're diverging. I'm talking about fast road/track driving where you end up doing a lot of gear shifting to keep the car in the appropriate place in the power band.
You could make the car accelerate the same, but you couldn't make it flow when being driven hard the same, and it is that flow that the Integra is famous for. The wide powerband and close, short gearing is a big part of that flow, and by changing that, you'd damage the real thing that the car is famous for. With a narrow powerband, you need a much larger selection of gear ratios to enable you to hit the powerband appropriately, or alternatively you have to drive the car back into the powerband which isn't as quick and smooth.
As I said, if you get an opportunity, take equivilent petrol and diesel models for a proper, twisty fast road thrash, and the differences really become apparent quickly.