Hopefully the engine fuel filters and lines still contain some of the original fuel, and did not get cooked to vapor by the fire.
This description of power not following the throttles reminds me of a severe case of water contamination in the fuel of a J-52 on an A-4 Skyhawk. The crew noted unusual performance from the engine during a night GCA. At minimums, they attempted to waveoff only to have the cockpit go dark as the engine flamed out. Fortunately the student had been a little bit fast on glideslope and they were able to flare and land. The water contamination test of the contents of the main fuel filter showed actual washing out of the soluble water detection media on the sample test filters. The water content was so high that it was not measurable using normal water detection technology. A SWAG at the water content was in the 20% range!
The J-52 design and the JT-8 share a common history if I recall correctly.