Some friends of mine married in the UK (one a British citizen, the other non-EU non-USA), then moved over to the USA not long after. They've been there for a couple of years now. Sadly things haven't gone too well for them, and some sort of separation looks on the cards, possibly even divorce.
What isn't clear, at least from a cursory google, is where a divorce (if needed) would happen. Would it need to be a UK divorce, as that's where they married + that's the citizenship of one of them? Would it need to be a US divorce, as that's where they live together now? Or is it something they could choose between?
(Or is it a complicated state matter, varying depending on the US state they live in?)