Since 1990, he has served as a professor at the School of Visual Arts (SVA) in New York City where he teaches courses in philosophy, peace studies, and war.

In 1964, Bica entered the United States Marine Corps Platoon Leaders Class and upon graduation from college in 1968 was commissioned a 2nd Lieutenant.

Bica has authored over fifty articles dealing with social policy, the ethics of war, posttraumatic stress disorder, moral injury,[5] and related topics published in the Humanist Magazine, numerous alternative news sites such as Truthout.org,[6] OpEd News,[7] Common Dreams,[8] AlterNet,[9] and numerous philosophical journals.

In 2010, Bica testified at the Truth Commission on Conscience in War[14] at the Riverside Church in New York City.

He currently serves on the National Advisory Board of the Soul Repair Center,[15] a think tank dedicated to research and public education about recovery from moral injury from war located at Brite Divinity School in Fort Worth, Texas.