Most any grease will be fine. The only one I would NOT use would be cling grease. Its red and made for pins and bushings on heavy equipment but sold at most auto parts/ hardware stores. It sticks to everything and makes a huge mess.
Yeah, that's moly grease. It reminds me of hot stringy bubble gum that you step on in parking lots on a hot day. It's some messy grease. Like stated, it's made for things like sliding pins where regular grease would just be wiped off. I wouldn't use that type of grease either.
Moly is also an ingredient in "assembly lube", used so that it sticks to the parts when you assemble them, until the engine builds the proper oil pressure.