Williams was one of a dozen sculptors invited to compete in the Pioneer Woman statue competition in 1927,[1] which he failed to win.
His model for that competition was later enlarged, cast and placed in front of the public library in Liberty, Kansas.
Wheeler was also the founder and president of the American Artist Professional League.
Williams was a supporter of the House Un-American Activities Committee's search for communist "reds" in the arts.
Very active in the Republican Party, many of Williams' commissions reflect his conservative positions, including his work on the Robert A. Taft Memorial in Washington, D.C.