I disagree. I feel we shouldn't have to have an extra step to share what we search for. The act of searching can be sharing and also in itself what people search. I do agree facebook is the wrong medium to achieve this though, google maybe; it needs to be at the browser level and open sourced as much as possible.
I don't know. I mean imagine google sharing a post in google+ whenever you run a search query on their search engine? Perhaps, you would like to qualify the type of search? There are various levels of specificity of searches and you refer to those deep,precise levels? In that case, i can see the point.