While national independence is important, at a certain point, "sovereignty" is just a code word for some politicians or businessmen (like newspaper owners) to get more power.
Your complaint seems like a good parroting of the brexiters "worries", but they are mostly uninformed complaints
"hetrogenous body politic with hundreds of millions of other people with which they share little other than said bureaucracy"
What an ignorant statement. People in the EU share a lot of common values (like the Arts, and Continental Europe has had exchange of people and ideas for a long time). Language is irrelevant unless you (not you) are an ignorant bastard that can't be bothered to learn the basics of the national language of the country you live in (like a certain ex MEP)
> People in the U.K. were very rightfully afraid
I'm sure people on the countryside that gets their information off of tabloids have carefully evaluated all sides of the question. Hopefully they know as well they won't get their budget increase of the NHS (in fact there will be staff shortages), that cost of living will increase and their dole will most likely decrease.