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Recently I purchased a 2002 F350 7.3L crewcab.

The last of the good Ford truck diesels.

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I tried warm soapy water and a microfiber cloth, with very limited success.

I always keep a bottle of soap water in my kitchen. It's a light mixture of Dawn/water and it won't harm while still cleaning. Try using an old toothbrush for hard to reach areas.

But for dusting, light cleaning of car interiors...

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Murphy oil soap.

Murphy oil soap/water is even better.

Start with the least aggressive thing and then move up as necessary. For me that would be an all purpose cleaner diluted with warm water and a soft bristle brush. Simple green and Dawn both qualify. If that doesn’t work I’d use a degreaser, but dilute it quite a bit at first. I like Meguiar’s Super Degreaser a lot - a gallon of concentrate lasts a long time and it is real commercial product. If you have access to a steam cleaner I’d use that for sure.

Important - any time you’re using chemicals to clean in this area cover the gauge cluster and stereo with a towel. The plastic covers on gauges are notorious for etching when exposed to certain chemicals, and once that happens there’s no fixing it.

I scrounged around in my “Fibber McGee™️” closet and found an old can of Tuff Stuff. It, along with several microfiber cloths, did the job and didn’t appear to have harmed anything I used it on. Good stuff.

I've had great luck with the All Purpose Cleaners (APC) from McKees37 and Meguiars. Give it a little dwell time & wipe off using a microfiber towel. Repeat as needed.