A lot of posters seem to think jury duty is a chore best left to others. But consider this: suppose Jews were exempt – or excluded – from jury duty. That would not be good for the Jews.
So stop looking for ways to weasel out of jury duty. If you have sincere halachic objections, so be it, and do what you have to do to comply with your beliefs. But if your objection is that you don’t want the inconvenience, or the loss of pay (with which I sympathize), please suck it up and participate in an important part of American democracy.
I have been called several times but never was chosen to serve on a jury. (I like to think it’s because I look to smart.) The courts have done a good job of stream-lining the process and waste as little of your time as feasible.