Well, everything the on-click does is copying the current text into the search box on the top right. Would you like to change the search behavior to need to be exact? I'm pretty sure we'll loose more functionality than we get.
For instance, you can now type:
google and the search result will be all domain containing
google somewhere in their name.
If we change this to exact search, such a thing will not be possible any more. For instance, using our "smart" search algorithm, you can currently put multiple constraints at the same time, e.g.,
where I searched for a client + domain contribution. Both only in parts.
However, I'm always open for ideas and happy to try and discuss them with you.