I'll give you kudo's for your troubleshooting abilities. Sounds like you have some engine mechanical aptitude. Nicely done.
That would be the stock distributor with a Pertronix conversion. You would just pull out the conversion plate to get at the weights and springs. Remove, clean, reinstall.
I've soaked in a carb cleaner solution to clean then up but brake cleaner or any other similar chemical would work fine. The biggest thing is getting the dizzy base cleaned out as well as the weights and springs. I've taken a shop rag and shrouded the top of the dizzy (to prevent overspray all over the place) and sprayed brake cleaner in there and then wipe it out good. Some compressed air if available is also handy (again shrouding with the shop rag). I've used a light oil like WD-40 or a light white lithium spray to lubricate. They should move nice and smooth when you're done. You'll obviously have to retime when done.
Just FYI, I would be very skeptical of that Pertronix unit. I've seen them fail on more than a few occasions from several friends of mine. I know of a few who even went back to points and never looked back again. I'm of the mindset that you either put in a complete electronic dizzy like an MSD or a DUI or leave the points in. I've just seen way too many issues with the conversion units, but that's just me. I also know of a lot of guys who have the Pertronix and love it. Just fair warning for future reference.
Another thing to verify is that the accelerator pump lever adjustment has no play in it. Standard Holley instructions say that there should be like a .015" gap between the pump lever and the pump diaphragm itself. This is BS. Snug it up just enough so there isn't any play at all. Even the very slightest touching of the throttle should start a pump shot from the pump nozzles. This can be done without removing the carb. Make sure that it doesn't get over tightened so the pump lever bottoms out the pump diaphragm on a full pump shot. As long as you adjust it just enough to take any slop out of it you'll be fine.
Keep us updated on the progress.