I've also seen a lot of them use adhesive between the layers, on knives at least. But, pressure is usually how they're kept on the knife.
I don't overall like your idea though, if it were me. Having to deal with hot was and stacking and pressing that all together sounds like a big mess.
I will admit that I've experimented with hot glue and stacked leather as a way of pre-fabbing leather handles as I was trying to work out a manufacturing process. The leather holds together quite well, but getting it to look good is a problem and then shaping them afterwards was terrible as the glue immediately filled up grinder belts. I found ways around using a grinder, like a rasp and hand carving the handles, but that completely defeated the purpose.
I suspect you may find similar with beeswax, shaping the handle later may be problematic.
The only sure way to know though is to try it. During R&D phases, I'm generally a big proponent of just do a dirty run and see what happens and determine if it's feasible to continue down that path or if it's a complete bust, as long as the time and money investment isn't too great.