so none of your US tools will work without a transformer.
Some will work with a transformer and some may only run rather slower, if at all (mains operates at 50Hz, not 60Hz as in the North American continent).
Most trees around Molesworth will be stunted and leaning at an angle due to the strong prevailing winds (like that in many parts of the region). I thought most moved away when they took the cruise missiles away, leaving a sparse population of nuclear-protester resistant stalwarts to live in more relative peace.
Seriously the UK is no bigger than some of the separate states in the US, so travelling long distances by road should be no particular feat for you. It may take a lot longer in the UK, that is all.
No real problem getting anything - just the cost, but imports from the USA (via USAF, if that is appropriate for you), would not present a problem. Just don't bring in bees or small hive beetle!
You will get an extra approx 10% in each gallon of gas you buy, but it will be a lot more expensive, ha ha. And we in Britain (well, a lot of us) are metricated so your gas will be in litres.
All in all, most of the yanks (around Upper Heyford) seemed to be fairly 'well off' back then, quite a good crew, mostly - except when they parked their Phantoms a couple miles short of the runway or tried to do 'vtol' with the odd F-111. We had a lot of fun times, with some of them, back then.
Regards, RAB