You are 100% correct. However, he's an a$$hole and we should have gotten Ray.
Lewis, Suggs and Reed made Rex Ryan. They set a tone on the field for their teammates to exemplify, and Rex got accolades and ultimately a head coaching job, because of their performance.
With the Jets, their are no real leaders on the field (despite the want of the head coach to just give out "C"s), and that leaves Ryan in a lurch. He is seemingly unable to develop leaders, as he is not one himself, and this leaves the Jets desolate in seeking identity.