Here are my thoughts.[...]My defense and dissertation examination will be exactly like those getting the PhD. Is my degree inferior? Is it a lesser doctorate? I don't think so. This type of discussion is stupid, and to some degree ignorant, in my opinion.[...]If the university you are applying for is made of such shallow and arrogant faculty that they discriminate against you because you degree says EdD instead of PhD without a deeper examination of what work was actually done, then it is an institution you really want to work at? I wouldn't.
Good luck with that.
OP: If you really have your heart set on becoming an administrator on the academic side of a university, then forget Education altogether and get your PhD in Astronomy. - DvF