Rhamell Burke has been arrested four times in the past four months, according to the NYPD. Robert Mecea for New York Post Another New Yorker was made the victim of the city’s revolving-door criminal justice system last week. Ross Falzone, 76, was entering a subway station in Chelsea when Rhamell Burke , 32, allegedly shoved him down a flight of stairs. Falzone later died from his injuries. In spite of this, somehow Burke appeared in court on a completely different charge the next morning. Even more shockingly, he was allowed to walk free. Burke had also been turfed from Bellevue just hours before he allegedly took Falzone’s life. In addition to an indictment of the city’s mental-health policies, Burke’s story is that of another frequent flyer released under New York’s lax bail laws. ‘Racist’ concerns Burke’s Friday hearing, for a third-degree assault case, was not an isolated incident. He’s been arrested four times in the past four months, according to the NYPD.…