I think the frequency of jury duty in the USA is less than Space cowboy suggests. I just turned 46 yo, have always been registered to vote (in various jurisdictions), and have served on a jury once. Obviously, I know other people who have done so, a couple of them more than once. But it's hardly like being called up every year. Of course, jurisdictions are bound to vary somewhat depending on how many cases come up, but it's a pretty minimal obligation of citizenship.
FWIW, you really cannot give up UK citizenship by getting US citizenship. I know a number of dual (or multiple) citizenship people between those jurisdictions. None of which, of course, means that there's any particular reason for the commenter to seek US citizenship if it doesn't have any particular benefit in his/her case.