I live in New Zealand and got called up for jury duty a couple of years ago. The only part I would have refused would have been if they had asked me to swear on the Bible. In that situation I would have quoted to them from Matthew Chapter 5
Matthew 5 Authorized (King James) Version (AKJV)
33 Again, ye have heard that it hath been said by them of old time, Thou shalt not forswear thyself, but shalt perform unto the Lord thine oaths: 34 but I say unto you, Swear not at all; neither by heaven; for it is God's throne: 35 nor by the earth; for it is his footstool: neither by Jerusalem; for it is the city of the great King. 36 Neither shalt thou swear by thy head, because thou canst not make one hair white or black. 37 But let your communication be, Yea, yea; Nay, nay: for whatsoever is more than these cometh of evil.
So, will I put my hand on the book that says that you shall NOT put your hand on a book or swear by any item and thereby utter an oath and swear to tell the truth. NO!! But I can promise I will tell the truth which is what I am required to do as a believing Christian.
None of all of that was needed though because I didn't get selected for the jury.
I was also prepared to look at their "Bible" and if it wasn't a KJV I would have told them that it isn't a copy of the Bible and that it is a fake document.
I wouldn't hesitate to be a part of a jury as it is about convicting and punishing evildoers and openly establishing facts and truth and setting the innocent and honest and law abiding citizens free.