Ezra was in private practice in Honolulu, Hawaii from 1972 to 1988 becoming a partner in the law firm of Anthony, Hoddick, Reinwald, and O'Connor in 1980.

Ezra was appointed and served on the Judicial Conference Committee on the Administration of the Bankruptcy System and was its long range planning chairman.

In January 2013, Ezra was designated by the Chief Justice John Roberts to the Western District of Texas, San Antonio and Austin Divisions, to help ease the heavy workload for the federal judges in that state.

In September, 2023, Ezra ruled that a controversial floating border barrier in the Rio Grande River violates federal law and must be removed.

Texas Governor Greg Abbott had ordered deployment of the floating barrier in July as part of Operation Lone Star, his multibillion-dollar effort to fight illegal immigration and smuggling at the U.S.-Mexico border.

[10] In 2020, after the rule was challenged, Judge Ezra upheld the ban on bump stocks, concluding it “properly classifies a bump stock as a ‘machinegun’ within the statutory definition.” [11] Judge Ezra’s decision was reversed by the Supreme Court in a 6–3 decision with Clarence Thomas writing the majority opinion.

Thomas held the ATF exceeded its statutory authority by issuing a Rule that classifies a bump stock as a “machinegun” [12] Ezra presided over United States v. Texas, a legal challenge to Texas Senate Bill 4 which empowers state and local police officers to arrest migrants who cross from Mexico without authorization.