Man, I should have thought of this, ( http://kausti.com/blogg/uploadedimages/snelhest.jpg ). But like PBH says "The name is the most important part of a project, and once you have a name there's NO GOING BACK"
We use both the rest-happstack and rest-snap backends, rest-wai is brand new so we haven't gotten around to using that one. You need to pick one of the backends to run an api, rest doesn't contain a web server.