It is a common belief that "if you want to learn/study English, you must go to an Anglophone country." This belief is compounded by the fact that English teaching franchises are constantly advertising ELT as a commodity and their authority on that commodity. Some language schools do not even recruit language teachers other than the native speakers.
But, my question is about academia.
So, if someone acquires a Ph.D., say, in English 1 (linguistics) from a university, say, in Israel 2 (where the native tongue is Hebrew), would he be considered on par with a Ph.D. from an anglophone country in an anglophone country?
What kind of problems may he face if he moves to an Anglophonic country to be in academia either as a researcher or a professor?
Note: 1 might be any language other than  and vice versa.
Note-2: I am talking about academia.
Edit: the context is the following: