I do understand that the numbers in the UK are worse than over here. I'm concerned for you folks also!
It's very difficult to compare countries - even assuming that everyone was keeping to the same method of recording deaths. Population age and health profile is a big factor in outcomes but population density is a big factor in initial infection rates.
Dense urban populations will inevitably have a higher R number than sparsely populated rural areas. Hence areas of Wales like Gwynedd and Ceridigion have remained lower than the densely populated S Wales areas.
All things being equal, one would expect New York to have a much higher rate than Alaska or Montana as it does.
Adherence to preventative measures - hand washing, masks, distance - certainly is another big factor and sadly the USA didn't have much leadership on that until recently.
On vaccines, the USA isn't doing that badly although I still contend they could and will do a lot better once more facilities come onstream. Every indicator and proper scientific paper shows that the various vaccines in use are all effective - even at just the prime dose. Probably the US would do well to adopt our 3 month spacing before giving the boost portion strategy to maximise lives saved which the latest studies have born out.
Regardless, the simple hard truth is that if you don't catch it you won't get ill and following the rules is the best way not to, even when you've had the jab.