I am an American and hence not one of the Queen's "subjects" and yet both myself and all adult members of my family watched either the royal wedding this mornignor part of a rerun. Same with the fourteen or so people in my office.
I believe that the English-speaking people are to some extent a unit; united we stand and divided we fall. We learned this the hard way when the U.S.'s delayed intervention in both World Wars almost led to the death of the U.K. I think that the English people and system have been a beacon of hope, freedom and good government throughout the world. Hardly perfect, but very good.
The sense I have when watching the ceremony is that, "we are them, they are us". Though politically we are separate entities, we are brethren for a cause, a most important cause. That is life, liberty and the pursuit of happiness.