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I think the reason it fried was because I left the headlights on until the battery drained dead.


That would not have caused the connector to melt. Leaving the headlights on just creates a normal current draw which will eventually drain the battery if the engine isn't running to charge the battery. Something abnormal caused that damage, and it would be a good idea to diagnose what caused it before reconnecting it.

95 Montero SR
3.8 MIVEC, Advance headers, 2 1/2" exhaust, Magnaflow muffler, OME shocks & rear springs, 2" body lift, 3" tank lift, 4.90s, TRE front locker, factory rear locker, Roger Brown Rock Sliderz, 315/75r16 (35") tires, Sport big brakes