I can't remember the exact size of the TE2 to the TE, but I think it's slightly longer vertically and shorter horizontally. I could be making things up though.
Anywhoo, PS4 pads are really nice! Not too sure about using them for fighting games but hey I like em. Padhacking them is very very hard from what it looks like, Gummo has a guide on SRK Tech talk. Dunno if I'll do it or not, but I think I was hearing that PS4 pads were on sale sometime earlier this week for 35$ and will probably be on sale again for Black Friday.
Edit: Actually, Just saw the link for your stick bag. That's for the Fightstick Pro, if it fits very snug for that stick, there's no way that a TE2 will fit.
looking again and now I just have no idea. Just use a messenger bag for your stick, problem solved