Lyndon Baines Johnson was a larger-than-life figure, no doubt, but is Broadway big enough for two plays about that president?

The producer of one of them says no — and, taking a page from Johnson’s playbook, he’s trying to muscle out the other show.

The two plays are Robert Schenkkan’s drama “All the Way,” about the first year of Johnson’s presidency, and Alexander Harrington’s “Great Society,” which covers the Johnson administration from November 1963 through January 1969. Neither has firm plans to open on Broadway yet.

Of the two, “All the Way” seems to have more going for it. The play begins performances in September at an esteemed theater that regularly transfers shows to New York: the American Repertory Theater in Cambridge, Mass. It also stars the sort of big name that Broadway producers want. Bryan Cranston, the three-time Emmy Award winner on the popular cable series “Breaking Bad,” will play Johnson.