Roger,
Welcome! I see you joined back in June. Took me a bit to find your first post.
https://cj3apage.com/Forum/index.php?topic=5668.msg42047#msg42047Sorry no one has replied to that post!! Re-reading that answered a lot of my questions for this post. I can see you have the cluster gauge (that mostly doesn't work) for your '63 and a 12V system. What's that gauge to the left of the steering column (where the defroster hose would normally be)?
If you have a Service Manual (SM), there's a whole section devoted to the electrical system. In that section (Sect. I), there's a list of checks you can perform to test the components. You didn't post your location but if you have a good electrical shop, that would obviously be the simplest option. They may be hard to find now. Plus, information is on the 3B Page:
https://cj3b.info/Regulator.htmlStart simple. Are the terminals and cable ends clean? Do you have any white powder buildup on your cables? Is the cable insulation puffy or bumpy around the wire? That buildup will insulate and not allow the battery to charge - but will also interfere with starting the engine too. I noticed from your previous post the odd cable routing - leading me to ask if you have the ground strap between the engine and frame?
Since these vehicles don't have sensitive electronics on them, an easy "shade tree" method to check for charge is to disconnect the negative battery cable while running. The generator will need a slight increase in rpm's so use the throttle cable to bump up the idle just a bit. Then with the jeep in neutral/brake set, go and pull the neg cable off the battery. If it dies, the charging system isn't working.
Either the regulator or the generator (or both) may be causing a problem. Knowing which one will save time and money.
As far as the "gasket" is concerned, are you referring to the mounting bolts that hold the regulator to the fender or a gasket under the hood when the two screws are removed to look inside? The regulator posts should be insulated internally. You can mount it directly to the fender or use grommets that fit the hole and bolts but I think that would just provide shock isolation (mine is mounted directly to the fender).