I believe if you have a short you should blow a fuse. But if your engine is dying you probably have a bad alternator and/or battery.
make sure body ground to motor is still connected.
This happened to me in a 95 Toyota Tercel and the cause was for the most part dirty battery connections, when the electrical load was raised the alternator could not immediately keep up and required a moment to adjust, but with a bad battery connection (probably the Positive in my case) it couldn't temporarily draw enough power from the battery to still fire the spark plugs hence the immediate stall.
Check to see that all other lights work on the neon. Check for a headlight fuses, relay, and a bad switch. Check for any loose wiring that can cause power loss to the headlight.
A blown fuse will cause the 1995 Ford Taurus headlight to stop working. The fuse box can be found in the engine compartment.
headlight switch is probaly your trouble
Run a ground wire to that headlight. If it gets brighter, there is a problem with the ground in the wiring harness.
you need to check your wiring from the headlights bac to where it starts. it could just be a bad ground or you might have a break in the power wire to that light
bad headlight switch.
I would replace the headlight switch as Ford has had their share of these problems.
A dimmed headlight is usually cause by a bad ground. Check the connections in the headlight wiring. Sometimes they can get water in there and just a little bit of corrosion will cause bad connection.
There are several possibilities; headlight switch, headlight breaker or fuse, connectors, dimmer switch.
faulty wiring or you are accidentally hitting the switch and not realizing it
Turning on the headlights with the engine turned of.