If they were attempting the US - which I seriously doubt - it would be fun to see them go through immigration. A lot has been automated now, but still, of course there are checks. Creepy raises red flags just by his existence and look - plus the idiotic things he says.
But as an alien, he’d need to declare his purpose for requesting to be admitted into the country. He’s going to have to say work related, and provide significant paperwork & a work visa. All their camera equipment says a lot more than ‘family vacation’ - plus, ‘we’re famous’ - immigration may well be Ifam but the law is the law
Just suppose they get by without declaring work, the amount of luggage screams a lot more than Brits on vacation. And as others have said, they’ve left themselves no room to bring anything back.
I may travel reasonably light on the outgoing leg but I’ll have a virtually empty case for all the
tit I’ll bring back
So no I don’t think it’s their American dream, but every country will require the correct paperwork if they are planning to ‘work’ which clearly they are.