It is a fairly common problem, I have had it and fixed a couple others. Never tried to re-glue it, but if I did, I would clean the snot out of all the pieces and re-glue with either slow setting epoxy or JB weld, clamping everything in place while it dried. Not sure of the temp requirements for that location, but I'd bet 250 would be adequate. Thing is, them sliding all together saved the stator. They don't always do that, sometimes they come off and eat the stator, so a new one might be more cost effective in the long run.
2004 FLHTCI with Khromewerks Mufflers, Fullsac headers, Stage I Download, Dobeck TFI, Big Sucker, Saddlemen Gel Seat, Windvest Windshield, Cruise, HD Stainless Pullbacks, Throttle-Up Touring Stabilizer, Andrews 21N Cams, Herko Hydraulic Tensioner Upgrade Kit, Hogtunes Sound.
A perfection of means, and confusion of aims, seems to be our main problem.