Well, Picky, you sound a nice guy. I am certainly not suggesting all English atheist/non-religious has lost touch with their Christian heritage or all English atheist/non-religious are Richard Dawkins. But certainly, many (not all) English, for instance, view the cathedrals as national monuments rather than living places of worship. Many (not all) return to the church only for weddings, to ‘get the baby done’ and funerals. Curiously, while surveys have repeatedly revealed declining affliation with recognised religions, many still prefer the continuing establishment of the CoE and takes an interest in the debate over women priests.
Somehow (and I am struggling to define it accurately, and risking a over-simplified over-generalisation), the English seem to have a curious relationship with their history (especially religious history) - an acceptance for the quirkiness and yet full cognisant of the divergence in values between the motives behind the actions of those days and modern day English values. Regicide was a good example and reasons for 1534 Act would be another. I agree with you that embarassment seem to be a part of the national make-up - what with unnecessary hang-ups over colonisation, imposition of Christianity, etc.
I guess being embarassed would be much more acceptable than the way some other cultures deal with it - changing their history books to align their history with the present-day view of themselves. The Chinese in PRC, the Malays in my country, and some Muslims dreaming of golden ages of days past, would be prime examples.
I have high regard for the CoE and do not think her any less catholic for not being in communion with Rome. The break with Rome was certainly unfortunate and I recognise the prevailing social and political currents that meant the 1534 Act was only a stumble within that wider stream. Much like the 1517 Theses and 1054 Mutual excommunications were largely markers for the widening social and cultural gulf of the day. But I do not see 1054, 1517 or 1534 as inevitable though they have happened, and we have to deal with the consequences today. I look forward to the day that the abysses of 1054, 1517 and 1534 can be bridged and the Churches reunited, though not on the terms some of our Curial Cardinals have in mind today. Maybe one day, we can have a Russian, Swede or an Egyptian as Pope, or whatever title the Churches agree to call him in the future.