Take a reasonably stock Evangelion scenario - SEELE, NERV, the Evangelion project, the Angels (including Adam and Lilith), et cetera. Transplant it to something that isn't actually Earth but might as well be; change names and file off serial numbers as necessary. Then take a step back, and consider it as objectively as is possible at this point.
Doesn't that look like exactly the sort of situation the Doctor would be likely to intervene in?
Doesn't that look like exactly the sort of situation the Doctor would be likely to intervene in?