I firmly disagree with this proposal.
As was said in a previous answer, a site whose sole purpose is migration is going a bit over-board. If a user doesn't know what site to ask a question on they can:
- Look around the network themselves.
- Ask on Meta.SE, as was done herehere.
- Go to the chat room of the site(s) that they were considering asking the question on.
There are already options in place, and the one you propose wouldn't fit the SE mold.