I do have a battery that I use for winter projects! I'm guessing the regulator has already been set to reduce belt dust. The grime seems to be from the past, not the present. The P.O. is an electrical engineer. That said, I've got my own preferences and electrical projects to consider.You seem to have pretty good 3 sided access. Of course the oil filter is on the side with more limited access.
There seems to be an awful lot of belt dust, or there used to be a lot. When you relocate the MC-614 it might be a good idea to check its settings and lower the belt manager setting. MaineSail has a good article on doing this and since you will be removing the regulator anyway, taking it home and hooking it up to a 12v power supply makes it very easy. Just tell Sue the new 12v power supply was an essential tool. It will also allow you to play with your MFD at home over the winter. That story worked well with my Susan.
Aside from the cleaning project, I will take off the gear case and replace the gasket to (hopefully) cure the oil leak. While the pulleys are going to come off, I may as well put on a sexy new serpentine pulley. That's in the works. And, I'm now more curious about the mixing elbow. I may as well pull it off and inspect it. I can replace the insulation if need be. Most of the hoses will be replaced, but the pair that feed the exhaust and the pair that feed the water heater exchanger appear to be ok for now.