Mormons should no more support a Ground Zero mosque than they should support Boeing building a shiny new office building overlooking the Hiroshima Bomb Dome, or a cavalry reunion right outside the reservation that contains Wounded Knee.
And that, of course, goes for the people of every other religion.
One should really read the entire article at the link for insight into why this speaker thinks otherwise. He stated that Senator Hatch supported the mosque and "community center".
Also, there have been several articles posted regarding the ongoing ties between mormons and muslims.
http://mormonism.suite101.com/article.cfm/the_muslim_mormon_connection
Mormons, Muslims break the fast in Southern California (Mormon "interfaith outreach)