The tube is 7.75 inches long, including the threaded portion. The threaded portion is 0.75 inches long. The fork is secured to the mount with 2 allen-head screws. Threadlocker is on the screws, but it is similar to blue or even purple: no heat necessary. The buffer tube is threaded in and pinned with a rollpin, which drives out easily.
I do not have a pistol buffer tube, but both the carbine and rifle buffer tubes I have handy thread into the mount correctly. The SB-47 buffer tube is very slightly larger in diameter than the standard AR tube; a commercial M4 stock will go on, but it would need to be driven on and will be a tight friction fit. The rubber brace is a snug but not tight friction fit on the tube.
Based on this, it appears that a KAK tube would fit the mounting bracket with no problem, and the rubber brace would, in turn, fit the KAK tube, albeit perhaps slightly loose.
Apart from all that, I am not a fan of the way the mounting bracket is held on the AK receiver; it's basically just a friction fit with the forks trapped between the receiver and pistol grip.