Two years before the Great Schism, the Archbishop of Canterbury was excommunicated and his position invalidated. I'm not sure, but it sounds like King Edward the confessor was under this bull too, and the Norman invasion essentially a crusade. At the same time, Edward and his ancestors had begun using more Greek and Byzantine titles, like EADWARDI ANGLORVM BASILEI, and it seems like a significant English migration occurred to Constantinople as these ties grew, or at least a "New England" after the Norman invasion. That and the Varangian membership that the English may have enjoyed in part?
So my question is, given this shift towards the East, and the excommunication that both were under, how true is it that England was heading towards, or actually was, Orthodox instead of Catholic in the decades between the Great Schism and the Norman Conquest?
Ultimately, the Normans invaded, replaced the bishops and kings, and integrated them back into Catholicism. But I was curious of the in-situ feelings they had of their own identity.
AFAIK absolutely not, though I'm not specialized in the latest period of ASE.
Sorry, but most (I afraid all) of your premises mentioned in OP have at least some problems, in light of recent historiography:
References:
[Edited]: fixes typo as well as correct italicalization of the works cited.