In the spirit of knowing what you're up against:
George Albert Smith, Conference Report, April 1908 wrote:Our people have been taught to take the sacrament with the right hand; we believe that is appropriate, and proper, and acceptable to our Father. The sacrament should not be accepted with a gloved hand; nobody should receive it in that irreverent manner.
The quote from hawkgrrrl is also from Joseph Fielding Smith so there's a little contradiction, for me it's unclear what in his laundry list of customs represents things that should be continued as best practice and what is paving the way toward apostasy.Joseph Fielding Smith, Doctrines of Salvation, Vol. 3 wrote:It is the custom to extend the right hand in token of fellowship. The right hand is called the dexter, and the left, the sinister; dexter means right and sinister means left. Dexter, or right, means favorable or propitious. Sinister is associated with evil, rather than good, Sinister means perverse. We take the sacrament with the right hand. We sustain the authorities with the right hand. We make acknowledgment with the right hand raised.
http://www.lds.org/liahona/1983/07/ques ... nd-answers
There's a general consensus, citing scripture, that the right hand is the "covenant hand." Many references don't come right out and say you can't take the sacrament with the left hand but they do lean heavily toward "Take the sacrament with your right hand. You know... if you want to show reverence."
These aren't the quotes you are looking for. But you should probably be prepared for these points to be raised. You might get more traction by visiting the church handbook, which outlines the sacrament dos and don'ts and place the burden on the person attempting to institute additional rules.
Not to derail, but back in the day I wondered why deacons were necessary to pass the sacrament. If there's no problem with non priesthood holders passing the tray down the pew then why do we require a deacon to carry it from the table to the pew? Seems like anyone could perform that duty. I mean, if you want to get all technically bureaucratic about it maybe have the deacons shimmying down the pews or only have a priesthood holder hold the trays out for other people as the tray makes its way down the pew.
Another derail now that passing the sacrament is on my mind, I like some of the symbolism in the way other churches do their sacrament. People come up to the front of the church to partake in the sacrament. It's a real come unto Jesus moment. Our approach is to bring Jesus to the people (missionary theme I suppose). Each method has its merits and symbolism.
I'll occasionally take the sacrament and even do sustainings with my left hand, not out of defiance, either out of convenience or to remind myself that it's not the most important aspect of the ritual, at least for me.