At least one person is working on this:
https://twitter.com/hsu_steve/status/1623388682454732801
While something like this would of course be incredible, even just current ChatGPT + the ability to web search for you would be quite amazing.
If MS isn't ready to completely replace Bing, then they should've made it an entirely separate page: bchat.com or something.
If someone built something that parsed sentences, stored facts, learned relationships between them, learned enough language processing to make connections between them in order to be able to say something new about the subject it didn't already know before-hand, then I'd be on that train. Right now I only see misery in our future if we just work on honing ChatGPT and it's ilk to better simulate BS.