Don't know why you would do this unless you a java app or something like that but anyway, The way I would do it is use the Repository pattern so I would create your models as normal and then I would create a Repository and that would access your api . But if your only using laravel for the V in the MVC then I would use some javascript framework to build the V view layer. Also Laravel is not really MVC its more like HMVC framework.

I can give you a better guide if you let me know what your want to build on Laravel eg: page to show the data in your REST API. etc

Your very last sentence answered your question.