Sorry to continue the hijack, but I did attend a United Methodist seminary for three years.
It’s a bit of a tricky point to summarize neatly, both because Methodism in the United States is a very broad tent, and because John Wesley, the founder of Methodism and perpetual wellspring of Methodist theology, tacked a narrow course between traditional Protestant sola fide theology and Catholic faith-and-works doctrine. (It’s worth noting that Methodism arose within the Anglican church, which does the same thing.)
Methodists do believe that salvation comes only through God’s grace, but the defining feature of Methodist theology is that it is Arminian (a reference to an obscure pre-Reformation theologian) in believing that salvation involves a human response to that grace, and that that response involves both assent to belief (faith) and changes in behavior (works). Early Methodism defined itself (and was defined) in contrast with the Calvinist belief that faith itself was out of human hands: not a human response, but an irresistible gift that God predestined certain people to have and others not to.
Technically, both of these positions are consistent with Luther’s doctrine of sola fide (faith alone), since works are seen not as a cause of salvation, but the inevitable outcome and sign of faith, but in practice, Arminians (which today includes in practical terms a lot of traditionally Calvinist sects; good luck finding a member–lay or clergy–of the Presbyterian Church [USA] today who really accepts Five-Point Calvinism) place a lot more emphasis on doing good works (especially as part of, if not the cause of, salvation) than the few remaining Calvinists (generally Southern Baptists, a subset of Evangelicals, and most fundamentalists).
As mentioned above, though, the issue is even more complicated by the status of the United Methodist Church as the tofu of American religion, which is to say, it picks up the flavor of whatever it is stewed with. In the south, this often means Southern Baptists, who, as mentioned above, are probably the greatest organized concentration of Calvinists in the country. Since the south is also a stronghold of Methodism, you might easily find a third to half the Methodist preachers in the country rejecting Clinton’s description of Methodism just like Vicsage.