Re: Can't we get rid of May?
A referendum decision is much more final.
Really? Here if we were to have a referendum, even a binding one, in time (whether next year or next decade) someone could bring about another one to change things. All it takes is a petition to get things started by the citizens (IIRC needs around 10% of voters), but the citizen's ones are "non-binding".
You can see more on our system at http://www.elections.org.nz/voting-system/referenda, and see that a couple of things have come up time and again.
Do your laws really say that once a referendum has been held you can't go back and change things later?