It takes about 5min for it to start back up. It has new plugs, wires, distributor, fuel filter, the fuel pump primes every time and it now has a newer fuel pressure regulator from a car that ran perfectly fine. Could it be my mass air flow sensor?
Definitely not the Mass Air Flow sensor - your Integra doesn't have one. It uses a MAnifold Pressure sensor instead, and they are very reliable.
What you need to know is whether spark or fuel is being lost. A spray of starting fluid in the intake will verify whether it just needs fuel to run, and the ignition can be tested by the time-honored spark method.
ADJUSTABLE JDM FUEL PRESSURE REGULATOR + GAUGE INTEGRA RSX DC5/CIVIC SI EP3 RED, ADJUSTABLE FUEL PRESSURE REGULATOR + GAUGE HONDA CIVIC INTEGRA ACCORD PURPLE, BWR BLACKWORKS FUEL PRESSURE REGULATOR & LIQUID GAUGE CIVIC INTEGRA D/B SERIES, AEM 94-01 Integra/Accord/Civic Black Adjustable Fuel Pressure Regulator, OBX Fuel Pressure Regulator Acura Integra RSX TSX CL TL, AEM Adjustable Fuel Pressure Regulator Honda Civic Si B16A2 Integra GSR B18C1, 94-01 Acura Integra fuel pressure regulator FPR OEM LS GS GSR TYPE R B18 Vtec, BLOX FUEL PRESSURE REGULATOR RED NSX INTEGRA CIVIC FPR, BLOX FUEL PRESSURE REGULATOR POLISH FPR INTEGRA/CIVIC, 1994 1995 1996 1997 1998 1999 Acura Integra FUEL RAIL WITH PRESSURE REGULATOR, AEM Fuel Pressure Regulator Black 94-01 Acura Integra 25-300BK, AEM Fuel Pressure Regulator Black 90-93 Acura Integra 91-05 NSX 25-303BK, B&M HONDA ACURA COMMAND FLOW FUEL PRESSURE REGULATOR MODIFIER CRX CIVIC INTEGRA, OBX Fuel Pressure Regulator Acura Integra RSX TL CL TSX, AEM Fuel Pressure Regulator 86-93 Acura Integra GSR 1.7L / RS, LS, GS 1.6L/1.8L, AEM Fuel Pressure Regulator 94-01 Acura Integra GSR 1.8L, 90 Acura Integra OEM Fuel Rail Pressure Regulator Line Hose , 94-01 INTEGRA GSR B18C1 FUEL RAIL W/ PRESSURE REGULATOR OEM DC2 CHEAP GUARANTEED, GOLDEN EAGLE 90 DEGREE FUEL PRESSURE REGULATOR RAIL ADAPTOR RELOCATOR B16 B18, CHROME JDM ADJUSTABLE FUEL PRESSURE REGULATOR FPR 0-140 PSI INTEGRA LEGEND RSX, ADJUSTABLE JDM FUEL PRESSURE REGULATOR + GAUGE INTEGRA RSX DC5/CIVIC SI EP3 RED, K-TUNED FUEL PRESSURE REGULATOR FPR SILVER HONDA ACURA CIVIC INTEGRA RSX, K-TUNED FUEL PRESSURE REGULATOR FPR BLACK HONDA ACURA CIVIC INTEGRA RSX, FUEL PRESSURE REGULATOR+GUAGE RED CL INTEGRA RSX TL TSX A4 S4 TT 330I 335I 525I, FUEL PRESSURE REGULATOR+GUAGE BLACK CL INTEGRA RSX TL TSX A4 TT 530I 540I 550I, FUEL PRESSURE REGULATOR+GUAGE BLUE CL INTEGRA RSX TL TSX A4 S4 TT 318I 325I 528I, FUEL PRESSURE REGULATOR+GUAGE+HOSE CL INTEGRA RSX TL TSX A4 S4 TT 323I 328I 535I, FUEL PRESSURE REGULATOR+GUAGE RED CL INTEGRA RSX TL TSX A4 S4 TT 330I 335I 525I, FUEL PRESSURE REGULATOR+GUAGE BLACK CL INTEGRA RSX TL TSX A4 TT 530I 540I 550I, FUEL PRESSURE REGULATOR+GUAGE+HOSE CL INTEGRA RSX TL TSX A4 S4 TT 323I 328I 535I,