Keeping things in USD for simplicity then converting at the end.
So say you live in the UK, and you + spouse earn $350k USD, UK will tax just under 40%, but lets go ahead and round it to 40%, then the US will tax the $150k at 24% to $315k and 32% to $350k.
So back of napkin calculations, your take home in the UK will be $210k and then you owe the US another $40k, making your total take home in GBP as of today, 140k.
The FTC only applies to taxes that are applied to YOU. So if you are set up through some Limited Company that pays out dividends or other non-PAYE scheme, YMMV.
I tried to keep it simple (overly simplistic, obviously) and specifically to the FEIE that GGP mentioned.
I'm not an international tax law expert, and I'm sure for less than the $40k in my example above you can have someone set up the proper shelters you need to limit your taxation, but the FTC
[0]: https://www.irs.gov/individuals/international-taxpayers/fore...