I just find the whole thing embarrassing, frankly. It makes me cringe. My national pride revolves around our culture, not the royals. I'm proud of our literary heritage (Chaucer, Shakespeare, Wordsworth, Keats, Jane Austen, the Brontes, Dickens, Virginia Woolf, etc), our ancient universities, and our science (Newton, Darwin, Hawking, etc).
I work in a university and, over the years, have met several anglophile American professors. None of them were interested in the royals. They loved Britain because they could walk round Cambridge and see where DNA was discovered, or visit Shakespeare's birth place, or go to the Oxford pub where Tolkien wrote Lord of the Rings, or walk the hills that inspired Wordsworth's poetry. It's the cultural richness that draws people to this island. That's what we should celebrate. We make too much of the royals and not enough of the things that are worth celebrating.
When I walk around Cambridge, for example, it gives me such a thrill to think that this is the place where Darwin, Newton, Nabokov, Wittgenstein, Byron, Milton and Bertrand Russell all studied. And that's just one small town. Given that, why would I take any pride in a vulgar, ignorant little oaf like Prince Harry? He's nothing but a yob with a posh accent. I'd rather spend the coronation money restoring our cathedrals.