I believe the reference to using latex by Toetag is a latex based sealant which is not an adhesive. It's basically a polymer and a liquid (ie water) mixed together. While it does have some adhesive qualities, I wouldn't use it where a strong bond between two surface is needed. It comes in quarts/gallons/caulk tubes and I know the caulk tubes of latex caulk can be found at HD or Lowes.
Thanks UnOrthodOx. Here's a thought on a possible reason why carpet glue is sticky for so long...natural rubber is made from natural latex, natural rubber is very sticky and is one of the reasons it undergoes vulcanization. Perhaps the carpet glue is made from natural latex and is sticky not because it takes forever to dry, but because that's its natural state. It just wants to be stickyIt's definitely NOT latex caulk, though that MIGHT work, I'ld think it to be a pain. He's referring to just plain liquid latex. Comes in various sizes. "Mold Builder" is a brand that can be found in Michaels in small quantities.
Various Halloween websites offer this latex for this kind of work. A search in google will yield you plenty of results. If you need to buy local, I have the best luck with plastics stores who sell it for molding material.
I also highly recommend it for it's ease and multitude of uses from corpsing to building molds, and I always try to have a gallon on hand.