"01 Mustang has been sitting for 2 mos, turns over, won't start?

check fuel pressure could have clogged fuel filter or bad fuel pump.

I would check the seal around the distributor cap as one of the 3 screws are broken most of the time

have you changed the gas out in the tank. the gas will go bad and lose is ingnition properties. if this still doesnt work change the fuel filter.

I wish I could give you an instant fix, but I can't. Do you have spark? If so then its either your fuel pump or the CPS, crank position sensor. If no spark then it could be your coil.

BATTERY DEAD MORE LIKELY.CAR BEEN SITTING FOR 2 YEARS GAS IN FUEL TANK WEAK FULL OF WATER, YOU NEED TO REMOVE DRAIN OUT OLD FUEL IN THE FUEL TANK. YOU NEED ADD NEW FUEL IN FUEL TANK,CHANGE FUEL FILTER, IF CAR BEEN SITTING FOR TWO YEARS.I WOULD REMOVE SPARK PLUGS ONE AT A TIME REMOVE EACH SPARK PLUG SQUIRT FEW DROPS OF OIL INTO CYLINDER THEN REINSTALL SPARK PLUG, REASON I SAY TO DO THIS PROCEDURE IT HELP PISTON RINGS SEAL UP ENOUGH TO BUILD UP COMPRESSION SO YOU CAN START THE ENGINE WHERE IT BEEN SITTING TOO LONG.YOU NEED CHANGE ANTIFREEZE AND THERMOSTAT.REPLACE RADIATOR HOSES TO BE ON THE SAFE SIDE,REPLACE AIR FILTER.

If i understand you right the truck has been sitting for two years.If it has been sitting that long without running or moving the gas has turned to varnish...I suggest that you drain and refill the fuel tank,and replace the fuel filter located on/in the frame rail on drivers side.

Any time a car sits for a long period of time you should completely drain the gas tank. The gas is more then likely stale. Try pouring a little new gas into the carb or use starting fluid. If it starts you have found your problem and will more then likely have to drain and clean the tank and replace the fuel filter.
If it does not start with the new gas, it is either a compression or timing issue. If you have spark at the plugs, and GOOD fuel in the carb and it still wont start I would check the timing. If the timing is on, check compression. If the engine sat to long with no oil in the cylinders they can build up condensation and rust. Then when you try to start it with the rust in the cylinders it can destroy the rings and cause compression loss.

They're shouldnt be any computers near the radiator. Your coputer would be mounted inside the car or on then fender/firwall (away from heat). Make sure the battery is fully charged and that the distributar cap/rotor are not corroded. Also make sure the gas hasn't gone bad (get water in it after sitting). Put some water remover in the tank and try to ad fresh gas if your not able to drain the tank. You could also have bad/clogged injectors after sitting but highly doubtful if it ran fine a year ago. Check the easy things I mentioned first. Spray som starting fluid in the throttle body while holding the throttle wide open when starting (need 2 people for this) see if it tries to fire, if it does try you are not getting gas or not good gas. Out the water remover in first and as much new/fresh gas as possible.

Unfortunately if all you did was dilute the stale fuel you will have to remove the entire fuel system and clean/replace.Stale (old)fuel becomes acidic and works like an acid.If you remove the fuel system yourself avoid getting it on your skin as it burns(personal experience)At least its not an ignition fault as the engine wants to run with an independant supply of fuel(start fluid)Sorry cant supply cheap alternative but there you are Good luck and let me know how you go with it.

try the fuel filter