Why is my 95 sedan deville cutting off when Im driving?

It might connect to the transmission, but I would be shocked if the wiring harness was the same.
A salvage yard should be able to tell you what will match up to the 95 model.

Bad Head Gasket

Hello: On the passenger side, Behind the glove box on top of the heater case is the Body control module, From underneath (passenger side) along side of the Programmer is the Engine control module. There is no one main ECU. This information applies to the sedan devilles with the 4.9 engine

water pump is bad and weak at an idle

Pretty dependable,but not cheap to repair when there is a problem.

I had the same problem with my 98 Cadillac Deville. I changed the power steering pump and the hose that runs to the rack. The problem was solved, loud noises and whining stopped.

Possibly in a "Safe" or "Limp home" mode. If so, have a look at the wiring harness on the transmission. I'll bet that the seal around the lid on it is failing. Clean the harness up, and reseal the lid on. If this does not fix it, have a mechanic look at the shifter linkage.

you may need the throttle body cleaned there are idle passages in there and it sounds like they may be clogging up on you

I'd start by tracing the fuel supply and return lines from the gas tank to the engine compartment. Make sure that they are free of kinks or other damage.

Next, check the fuse box and make sure there is power to the fuel pump. Trace the electrical connections leaving the fuel tank and make sure they weren't torn or otherwise damaged by the tire tread.

Hope this helps and good luck!

The problem could be either one. To find out jump start the engine, with engine still running disconnect the positive battery cable. If the engine dies the alternator is bad. If the engine continues to run the alternator is working.