Short answer: Yes
Long answer: Also yes. I was optimistic even before the Smash announcement. I *almost* expect it to happen within the next few years. With Rare being directly involved in the Battletoads reboot, I could them eventually move on to Banjo-Kazooie. If Perfect Dark gets announced at E3, I will take it as yet another sign that Xbox/Rare is serious about bringing back Rare IP.
4J Studios is a good suggestion for Banjo-Kazooie, but ideally I'd want it to be made by Rare and Playtonic. With Playtonic doing the brunt of the work, Gregg Mayles as creative director and Rare's tech team providing help with the engine and other technical stuff.
I hope so so, so god damn bad. I would be happy with just a port of the original/Tooie on to more platforms like Switch. I have no idea why they haven't done that yet, considering Banjo is in Smash, and Microsoft has already been putting some of their other flagship games on the Switch. Especially considering Banjo's relationship with Nintendo, people would eat that shit up.
It's too early to read into Microsoft's strategy for the Switch. Aside from Minecraft, they've only released Ori for Switch thus far. Not really a lot to go on yet. Plus, Phil Spencer has been open to bringing Banjo to Smash since 2015.
Then there's the fact that Banjo ports for the Switch would require a bigger job than one would think. Even on the Switch, the 30FPS/720P of B-K XBLA is unacceptable. Then you need to consider that they would also have to bring the games to the PC, where it would be even more unacceptable with 720P. Lastly, they would also need to make new native ports for Xbox One / Series X for parity's sake. It's not a simple port job.