New old '66 Barracuda

Before you get into tearing the engine apart, try draining about 1/2 the oil out and topping the crankcase back up with ordinary diesel fuel. ...

Keeping the booster and going to the '73 and later disc brake setup ... I don't know how complicated it is to get the later bits onto the earlier body.

Good idea, and better than the old "motor flush" cans that were straight kerosine. But before running the engine, I would remove the valve covers and brush everything you can reach with gasoline or kerosine (or a mixture). It will all run down the pan to drain the sludge. Then fill the crankcase with ~8 qt of kerosine and let it sit as long as you can before draining. That should de-sludge most surfaces. Then try the "run it hot" suggestion, but not too long. Worst case, you might mess up the oil pan gasket, but you might need to remove the pan anyway to check things.

The 73+ booster will fit the early A's. I put 74 brackets on my 65, but used a booster/MC from a 90's Breeze. It barely clears my Weiand valve covers by 1/4", so may switch to a smaller after-market booster I got since. I didn't like the heavy 74 cast-iron MC. I suspect one could install a later alum MC on a 4-hole booster by drilling 2 holes in the booster (taken apart) and installing sealed studs, rather than the expensive adapter plate.