No matter how much I love Loctite 648, I am still using silver solder for this job of making a drill bit. We all know that the drill gets reasonably warm when drilling the hole, and if it overheats the Loctite, you have a bit stuck in the hole. Loctite (Henkel) makes some great adhesives, but this is one job that is best left to welding or soldering. I use 648 in situations where there is high torque, but not high torque and high temps. If you chose to go this route, I am not sure how you lubricate enough to keep the temp low enough to not compromise the bond.
Silver brazing, or soldering, is not that difficult. It just takes a little practice. I use a mix of 45% silver, and the joint is incredibly strong if you have no gaps when you begin. You need your parts to meet flush, but about a 10 thousands is necessary for proper solder flow. Like doing a bimetallic patch box, or inlay, it is the same principle. My method for this is to cut a small piece of solder that should do the job, and lay it on a bed of flux, where I want the solder to flow. Then I heat the parts, not the solder. When things get to temp, they will flow if you do this correctly. After that, I keep the part at that temp for a few minutes, just to let the solder flow as much as it can. Use plenty of flux. Good luck.
M. E. Pering