1963 Dart 170 2 Door Post Resto

Beautiful! As far as the dash goes, what ever you use to clean up the dash will also affect the clear coat underneath it because they're basically the same materials. I would say some cutting and buffing would be in order? Start with 3000 grit maybe? For the body I would proceed with caution if you've never cut and buffed before. The videos on YouTube make it look easy, but…. I would start on one small spot, maybe the lower rear quarter panel and go through the whole process, cut and buff with different grits. When that turns out to your liking you can then do the rest of the car the same way.
I know there are others here with way more experience in this than me so I hope they chime in and share their knowledge. Again, beautiful car!