Charlie Crist, the ex-governor of Florida, sat in Manhattan Supreme Court Wednesday morning holding his foxy wife Carole’s metallic rolling bag while she stood before a judge battling her ex-husband, Blue Star Jets honcho Todd Rome, over her alleged failure to pay child support in an emotional showdown. Rome — who spies said chanted “big d – – k, big d – – k” at Crist on the court steps after the hearing — has accused Carole of abandoning her children, Jessica, 15, and Skylar, 13. Inside the court, Judge Matthew Cooper said, “I think this is a very interesting legal issue, but why doesn’t the mother want to pay some child support?” a source said. The judge acknowledged a written agreement stating that Carole does not have to pay child support for her daughters if the children live with their father in New York, but added, “I also can’t make her visit her children.” A witness said Rome started to “well up,” crying, “These are my children,” after Carole declined the judge’s suggestion to handle the dispute outside of the courtroom. Carole’s attorney Harold Mayerson accused Rome of manipulating his children by planning to submit a letter from Jessica stating her mother abandoned her and picked Crist over them. The judge wound up rescheduling the hearing for next year because of a technicality. A spy said Rome called out to Crist on the court steps afterward: “Nice going, Charlie. Nice look. Big d – – k! Big d – – k! Be really proud of yourself, Charlie!” Rome’s attorney Mark Heller said, “It was most apparent today that Mrs. Crist’s purported heartless disconnect from both her devastated teenage daughters and her alleged severance of the maternal bond shocked the good conscience of all courtroom observers, and drew genuine tears of pain from my client . . . who begged the court for help.” Carole’s rep didn’t get back to us.