I had to drop the tank a little further to be able to get the fuel pump assembly out. I did not have to disconnect any fuel line nor connector.
This is how it looks like. The GT bucket is much larger than I expected. They could fit 2 pumps easily in there. I guess you should need to stay on WOT pretty long before you dry it. When the tank is full, as it is not sealed on the top they are plenty of gaps for the fuel to sneak into. Anyway I will follow everybody's advice and stay away from WOT when less than 1/4 tank. Be carefull with the floating unit when you take the assembly out. It is facing the front of the car. Notice that they are two socks. One at the bottom of the pump inside the bucket, and one for the bucket.
The old GT pump stamped F80U-9350-AA on the left and the new aviator stamped 3C5U-9350-AB with the GT sock already on. They are similar externally except for the outlet, different shape and slightly longer for the aviator. That concerned me at first, but apparently it is working fine.
The aviator is a brushless design supposed to flow 285lph vs 115 lph for the stoch GT.
Took me about 3 hours to complete the installation (yes I am slow...) and test for leaks (I changed also the fuel filter) before a raod test.
No more fuel pressure drop after 5000rpm!

Stays above 40psi all the time. But now I see with the Autotap that I am pegging the 80mm stock MAF (44lb/mn) around 5900. Time to go with a 90mm LMAF!
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2002 GT with Saleen S4 Twin Screw
K&N replacement, 70mmTB, Magnaflow catted X-pipes, Steeda cat backs.
325rwhp / 350rwtq
Latest mods (No dyno yet):
Ported Intake, 2.80" pulley, 180 Thermostat, Aviator Fuel Pump, Tune by Kem Performance.
Soon 7" overdrive crankshaft pulley, 42lb inj, 90mmLMAF.