I'm right in the same boat with Cabinet #1, which was free and a Centipede. I'm sloowly putting it back together, bit by bit.
The only advantage I had on mine was a empty control panel, but with the handicap of black paint removal on the sides.
I got my Atari TB from quarterarcade in dirty stuck condition, but it cleaned up well. Now just the rest of the parts.
My approach is get function first, then the nice bits. The side art still has vestiges of the black paint I stripped off, but that'll be the last bit after the cpu, harness , crt, preecious blinky buttons and such. I'll put in regular switches, for instance, till the Atari LEDs find me.
Keep a notion of patience and a budget, and the parts will show up. The more it goes together, the more tempting X part at Y price will be, but I'm not _yet_ at that stage. I'm only at vital part #4 of at least 10.. to get it working. Then the icing.