Steinkamp began his career working part-time in the sound department of the MGM Studios.
He became an assistant editor at MGM, and worked for Adrienne Fazan, Ralph E. Winters, Jack Dunning, and Harold F. Kress.
Steinkamp won the Academy Award for Best Film Editing for Grand Prix (directed by John Frankenheimer, 1966).
He was nominated for the Academy Award for editing four films directed by Pollack: They Shoot Horses, Don't They?
He was nominated for ACE Eddie awards for editing The Unsinkable Molly Brown (directed by Charles Walters - 1964), Grand Prix (1966), Tootsie (1982), and Out of Africa (1985).