The experience would flow something like this: I type in a search query. I hit enter. I see a loading view that says 'Finding the right person.' In the background, the server is matching the search request against all of the profiles it finds relevant. Once a match is found, I'm taken to a chat view, where I'm able to message the other person in real-time. I can then ask more follow-up questions, and they can ask questions back to understand my context. Once the conversation is over, I see a rating view where I can rate the other person from 1-5 stars, and they do the same for me.
Whenever I tell a family member or close friend that I want to build this, they look at me, their eyes squint, and they say either, 'What? Why?' or 'Doesn't Google do search?'
Am I crazy? Or do they not see how powerful this could be?