It's actually a quite complicated circuit.
What I meant by cannot be done is that you cannot completely eliminate the 5AS if you have a MEMS because the MEMS needs to see the code from the 5AS to allow the engine to run.
The fuel pump is controlled by 7 inputs:
(1) the ECU must enable the fuel pump relay (one of the relays in the MFRU) by supplying an earth on one side of it.
(2) the cobra immob (this is the AA-BB thing) must be engaged or bypassed.
(3) the inertia switch must be conducting (i.e. not popped).
(4) the 10A (often uprated to 20A, it seems) fuel pump fuse must be OK and connected to battery live.
(5) the chassis earth system must be conducting back to the battery.
(6) the ignition switch must be in the on position and feeding current to the MFRU.
(7) the 40A fuse must be supplying the main relay in the MFRU (otherwise you won't get the ECU to do anything).
The starter is controlled by 7 inputs:
(1) The 50A maxi fuse must be feeding current to the ignition switch, and the ignition switch must be in the crank position.
(2) the cobra immob (this is the AA-BB thing) must be engaged or bypassed.
(3) the 40A fuse must be feeding the main relay in the MFRU (otherwise the start relay hasn't got a supply to feed the starter solenoid).
(4) the 5AS must be providing an earth to the other side of the start relay in the MFRU.
(6) the starter motor must have good earth through the earth system.
(7) the starter motor main live feed must be connected to the battery.
So both the 5AS and the cobra can in theory disrupt the operation of both circuits.
If you bypass the cobra immob as described above, you can eliminate the cobra from the equation. If the fuel pump runs and the engine cranks then you know the 5AS is happy (remember it's condition 4 in the starter circuit).
If the engine still doesn't run, then you could have engine problems or ECU problems or 5AS->ECU connectivity problems, and short of using a scope or an emerald there is no easy way of telling which fault you have.
I hope that makes some sense now! Tow the car down here and we'll fix it
Cheers,
Robin