When the FAB button is clicked...it goes to this existing screen, which is the same as clicking the magnifying glass today:

In another feature, we will add invites via share to the new chat screen, which will distinguish it from search via magnifying glass. Though we have not yet been given the thumbs up, the above feature as mocked up above can be made into a PR and we can run it past the Android team for possible merging into the upstream.