The maniac suspected of randomly shoving a woman into a moving Manhattan train — leaving her with life-threatening injuries — was busted in New Jersey on Thursday, law enforcement sources said. Sabir Jones, 39 — who allegedly pushed the unsuspecting 30-year-old victim into a departing downtown F train at the Fifth Avenue/53rd Street station around noon Wednesday — was picked up in Newark and taken to a local hospital, the sources said. He was not immediately charged. It came as sources also said Thursday that Jones was believed to have attacked another straphanger at the same Midtown station just minutes...