Where are you "jumping" the pumps at?
Yes, between the engine compartment and the fuel pump is an inertia switch, this switch will pop open in a collision or rollover, it can be reset but needs to be replaced if it ever "trips", because once it opens once it can't be fully reset, small bumps can trip it again.
Ford uses a relay and the computer to run the fuel pump(s)
Fuel pump relay will be in the engine compartment, it will have a Green base.
This relay passes power to the inertia switch, the power is from a 30amp fuse or Fusible link.
Find the Fuel Pump relay, pull it out of the Green base, key should be off
Test for voltage in the base's slots
1 slot should have 12volts, that the 30amp fuse or fusible link power, it is on 24/7.
If no 12volts is found fuse or fusible link is bad.
That power is the Load/Fuel pump power that passes thru the relay when it closes
Now turn the key on
Check slots again, another slot should now have 12 volts, that's the power for the relays coil.
When key is turned on this relay's coil gets 12volts but has no Ground so doesn't close.
The computer controls the ground.
Not sure where it is on the Mustangs but there will be an OBD1(EEC4) test connector, usually in the engine compartment on the main wiring harness by the firewall.
It isn't mounted to anything it just hangs from the harness
Look here for what it looks like:
http://www.therangerstation.com/tech_library/OBD_I.shtml
In the second drawing you will see the Fuel Pump slot in the OBD1 connector.
That slot is the Ground for the fuel pump relay's coil, it is spliced to the computer's wire that should activate the fuel pump relay by grounding it.
So..............if you turn on the key, and then put a jumper wire in that slot and Ground the jumper wire the fuel pumps should come on, if relays coil has 12v and the fuel pump relay "clicks" closed and the fuel pump fuse is good.
If pumps still do not come on then you will need to find the inertia switch, can be in the truck or passenger compartment.
With key in and Ground jumper in place(and grounded), check for 12volts on BOTH sides of the inertia switch.