Well, the custom controls in ASP.NET MVC are much more limited. Half the beauty of DayPilot is that complex data binding and callbacks are integrated invisibly so you call a few simple methods and it just works.
As far as I can tell (so far), MVC would have no problems with a read-only control (i.e. no drag&drop). All the AJAX communication would require a special web service interface (for sending the commands to the server and receiving the changes). It looks like if you need an AJAX calendar/scheduler it would be easier to stick with the traditional WebForms.