Perhaps the majority of citizens of the UK don't want to "regard the EU as (their) country".
Perhaps. Sadly we may never know though because a huge number of British citizens, myself included, were denied the right to vote in the referendum simply because we were not living in the UK. I would argue that a huge majority of these, and there are over 2 million in the EU alone, would have voted in favour of remaining because they were actually treating the EU as their country.
As citizens of a sovereign state it is their right to make that determination.
I agree and as a citizen of that sovereign nation I was denied that right which is rather ironic since one of the major complaints of the brexit camp was the lack of democracy in the EU. As a result I and my kids will lose their EU citizenship and my only recourse is to finally get Canadian citizenship so I give a final parting two fingered salute to my former country as it turns its back on Europe and loses the right to call itself either 'Great' or 'United' - quite literally as Scotland will secede. It is a very sad time to be British.