You get taught pretty much the same stuff in both the UK and USA if you look at the course outlines for the course you want to study at respected institutions in both countries. You're pretty much learning the same stuff in the same amount of detail however I think the testing in the states is a little more demanding than in the UK.
Studying in the USA will probably cost a heck of a lot more than it does here in the UK however a job in the USA is likely to pay more than its equivalent in the UK. I guess you could get a degree in the UK then work in the USA but you'd have to get a degree from a UK university with outstanding international reputation (Oxbridge, LSE, Imperial, UCL, St Andrews, Edinburgh etc.) to stand a chance of securing the type of job that a degree from the USA would get you. You'll probably have a lot more fun in the USA (My Opinion) however it's only worth going (Again in my opinion) if you get into a good engineering school there (Eg. MIT, Harvard, Stanford, Yale etc.) and you actually have an idea on what you want to do after the degree is finished.
I think studying your degree in the UK will be better since you're used to the environment and it will prove a lot cheaper to study here.