I was just about to mention both of those notes...
Never remove the drain plug, before making sure you have the "fill" plug removed... Some times those damned fill plugs are wayyyy tight, and many people have had difficulty getting them out, and end up damaging them... then, as they had already drained the rear drive... they couldn't fill it up.. till they got the fill plug fixed...
also, when checking the "fill" level, make sure the bike has sat stationary for about a half hour, and do not rotate that rear tire... They probably over filled it when it was serviced, by doing just that, turning the tire really allows it to be overfilled drastically.. the level should just touch the threaded portion of the hole, and not "overflow".. even on the side stand... this causes premature internal seal failure.
Over greasing that drive spline also causes a lot of spooge, I do mine on every tire change, but I make sure to completely clean off all of the old grease. I admit, I don't use the moly grease, I find it extremely messy, I just use a high quality bearing grease (I have 2 types, and both are different colors, one is red, the other is bright blue) and can tell if I over greased by the color if it "flings some out", I use it pretty sparingly these days, as I have acquired enough times to figure out "just right" and doing it every 5-6K miles, that grease is fine.