That statement is rather misleading since the NEA isn't a government entity, but rather a private organization.
First...from the NEA website:
The National Endowment for the Arts is a public agency dedicated to supporting excellence in the arts--both new and established--bringing the arts to all Americans, and providing leadership in arts education. Established by Congress in 1965 as an independent agency of the federal government, the Endowment is the nation's largest annual funder of the arts, bringing great art to all 50 states, including rural areas, inner cities, and military bases.
Second, even if the NEA were private, or didn't exist, there is no justification for bushels of U.S. tax dollars going to art. Art is a wonderful thing, but it is not one of the legitimate responsibilites of American government.