Based on my search, there appears to be only one Alonzo Bradley who played in the NBA:

Alonzo Bradley (born 1953):

Played forward for the Houston Rockets (1977-1980) for 99 games.

Drafted by the Indiana Pacers in the second round (29th pick overall) of the 1977 NBA draft but his rights were traded to the Rockets.

Interesting fact: Although his NBA career wasn't extensive, he excelled at Texas Southern University where he was a Team MVP, earned All-SWAC honors twice (1976 & 1977), and even made the All-Tournament Team. He later returned to Texas Southern and earned two undergraduate degrees (Business Administration and Computer Science).