Anyway, you don't need a mount kit to put a B-series motor into a '90-'93 Integra. It will bolt right in.
If you're trying to do this on the *relatively* cheap side of things then I would go with a full B16 swap. You can run the B16 with the stock transmission but the gears will be a bad match for the powerband. You need the ECU and a few other things as well.
You could slap a B16 head on your B18A block but once again, the gearing will be badly matched to the powertrain and I'm personally not much of a fan of taking the stock B18A bottom end up to a VTEC redline without any reinforcement.