I think I figured it out!!!
I have a class mate with a probe, which when the tank was full, no problems, but, when it got right at half full the accelaration was crappy, it acted like it wanted to cut off; all of the symptoms you have. He replaced the pump, and problem solved. Some how you need to get wiring chart to see what is connect to affect you fuel pump, sounds like short like someone said, you might want to scope your sensors just to eliminate from the list you should make! Also, check your
speed sensors, that would affect it. Usally if the sensor working one minute and not the next its not going to throw a code. Hey, I just looked up your electrical system diagram, it appears that the wires for your speed sensor are Pink /Orange, in that order, and one of the wires from your anit- theft controller module is Pink /orange, that paticular wire could be shorted or just gone bad, check it out, the speed sensor wire is Grey/black, but then changes to Pink/Orange, there is a Pink/Orange dircectly from your PCM which serves as ground. Now, there is a wire from the Remote/Keyless entry module that is Pink/orange, one goes to the right door motor and the other is spliced to the Anti-theft Controller module. You have a short to ground envolving you speed sensor and your Anti-theft controller module. Please tell me if this is the problem

or not

.