I'd also separate Catholic from catholic -- Eastern Orthodox ARE part of the Apostolic Church and so were many Anglican Churches. Political dissent does not validate a church being considered completely separate, but complete 180 degree differences in theology, DO, as in the case of Calvinistic beliefs versus Church beliefs
While I agree that the Eastern Orthodox are an apostolic church, I do not think that the Anglican are considered apostolic - since they broke from apostolic succession when Henry 8 made himself the visible ruler of the Church over the Pope. Anglican orders are not accepted by the Catholic Church, as far as I know. Thus, I believe the political dissent CAN be considered a means of breaking from apostolicity. It would be interesting to discuss why Anglican orders are not valid, while Orthodox are - considering they both broke from Rome. Perhaps it is because no Orthodox has usurped the Pope's position... Regards