I would touch up and clear it but it is a lot of work. I did mine (worse shape than yours) and it came out in the end. I wouldn't clear it unless you touched it up well. You don't want to bury any defects under the clear. Also I wouldn't consider anything other than 2 Part Automative. I messed up mine up initially just using acrylic clear. The 2PACC takes some work but looks great when done. You need to be very careful about safety though.
For me depopulating was a lot of work too so once you have it stripped you might want to just do the whole thing.
I would note that to my knowledge there is no place to buy new playfields or hardtops. Dr. Dude just doesn't seem to be popular enough. So you need to take care of the one you got.
One challenge on Dr. Dude is that a lot of the art is in the "Pop Art" style with a bunch of dots and it is hard to touch up. The simplest way to do it is to repaint the entire area in one solid color. It is not obvious to the player but is not original. I "faked" it in some areas and it looks okay (great from a distance) but you can tell close up.
Otherwise wax and play.
Here is my before and after around Molecular Million where I "faked" the pattern.
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However, here you can see it as a whole playfield and it look pretty good.
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You can see how everything is a solid color without the dots but you would only know if you were comparing directly against an original.