"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: But I say unto you, Swear not at all; neither by heaven; for it is God's throne: Nor by the earth; for it is his footstool: neither by Jerusalem; for it is the city of the great King. Neither shalt thou swear by thy head, because thou canst not make one hair white or black. But let your communication be, Yea, yea; Nay, nay: for whatsoever is more than these cometh of evil."
—Matthew 5:33-37.

Therefore (it seems to me) Bible-believing Christians ought to object to the oath as strongly as anyone.

(Not that I'm a Bible-believing Christian. I only quote that to show that Christians of all stripes obey what they want to obey and ignore what they want to ignore.)