It looks like the app is not fully loaded that page, is you're wifi ok? Have you tried shutting down core control fully and restarting (the double click thing)
Wifi is fine. I know it looks like the "page" is not fully loaded, but I don't think that's how the Core Control app works. Unlike the web client, whose UI elements are served up by the server, the Core Control app UI elements (I suspect) are already on the iPad. What comes from the server is the text that makes up the track listing, credits, etc. as well as the album art. You may have noticed that the album art is always the last element to load on the album detail page and as you can see it's all here.
With the app in this state I can switch views to Browse and Queue and even play another track by choosing Play Track Now from the pop up dialog. So the app (sort of) still works, the music is still playing. I just can't hit Next track or decrease volume, etc. The one thing that will crash the app once I am in this state is trying to adjust anything about the Focus.
As for your suggestion to shut down and restart the Core Control app, that's what I've been doing to get back to a normal state. Like I said, this behavior occurs much less frequently now, but it's still here with iOS 7.02.
I've reported all this to M support and will continue experimenting.