Currently, there is no RESTful API to test against.
This is already there, and can be tested against as soon as there’s a network running, and until then it is easy to simulate for testing.
There is no http on this network.
This is true, but not a big deal. Point is users will be able to access SAFE websites, web apps, in exactly the same way as they would http/https using a normal browser with the MaidSafe built plugin.
SAFE is for dynamic websites too!
Also, you are incorrect in implying that SAFE is only for static websites (if that’s what you mean - that’s how it reads to me anyway). This is the purpose of the SAFEpress app I’m developing: it’s a dynamic web app that creates dynamic websites and web apps that run on SAFE! 
Sorry that wasn’t clear - this is not a static content generator, but a true CMS, that will build dynamically editable, websites, and blogs with comments. The dynamic capabilities will be extremely simple to start with, but the pages will be generated dynamically, and more features can be added over time. It won’t be WordPress from day one, but I hope people will have a functional blog with comments from day one, and be able to automatically transfer content from WordPress and similar CMS websites. That’s why I am calling this a potential “killer app”.
Note also that @eblanshey is, if I understand it correctly, doing something very similar, building a web forum to run in essentially the same way (over REST using a standard web browser using the MaidSafe plugin).