There appears to be one main Alex Bradley who played in the NBA:

Alex Bradley III: A small forward who played for the Villanova Wildcats in college and was drafted by the New York Knicks in the 4th round (86th overall) of the 1981 NBA Draft. He played just one season (1981-82) with the Knicks before continuing his career in France.

Interesting thing: While his NBA career was short, Alex Bradley played for a prestigious program in Villanova and was drafted by a historic franchise in the New York Knicks.