Are the filament pins intact ? I would be concerned about the conductivity of the adhesive for higher-current pins like filaments.
I have only used conductive grease on a CRT anode, not an adhesive, and it's worked quite well. The pin wasn't broken, but the connection I have is flaky without the grease. The nice thing about conductive grease is that you simply wipe it off. The stuff I used is graphite-based grease from MG Chemicals. Recently it's gotten pretty expensive, around $40 USD per tube (about the size of a roll of toothpaste).
You should test the conductivity of the adhesive first, before attaching it to the CRT in case it's not good enough. It probably changes as the material cures. I would not want to risk further damage if you need to remove cured adhesive, so make sure it's what you need before experimenting.