This seems a bit confusing, you might want to add a little more detail as to not confuse anyone else, but great idea. It's a great story and theme, all you need to do is give the detail.

You might want to revise this fic a bit, events are a bit random and yours chapters are little more than single scenes.

Doctor Who and the Justice League.

Sounds awesome.

Can't wait to see where it goes.

A rather good start for it here.