Far from all Jesuits are like this. It's an order that takes an additional vow of loyalty to the Pope, who for Catholics is the final authority on Catholic Church doctrine. It's very possible this particular Jesuit will soon leave the order or be otherwise censured, especially by this particular Pope, who before becoming leader of the Catholic Church was in charge of the commission for enforcing orthodoxy among Catholics. I don't see how any devout Catholic, Jesuit or otherwise, could agree with his views, even if some of them do.
The article’s phrase, “trained as a Jesuit priest,” implies that the gentleman is not, presently, a Jesuit priest. Maybe he never was one, but only attended seminary for a time.
Wikipedia does not refer to Coogan as “Rev.” or “Fr.,” so it’s safe to assume he’s not a priest. Also, he teaches “Religious Studies,” not “Theology” at a Catholic university, which probably means he is acknowledged to be a heretic.
Michael Coogan, as far as I can determine, is not a Jesuit. (The article says, trained as a Jesuit ... not the same thing.)
I don't see any evidence that he's a priest of any kind. He's a college professor.