The extremely public split up conflict between Christie Brinkley and her ex might be resolved, only the pair's caustic quarrel is firing up once more. Brinkley inquired a Suffolk County court to harbor the pair's 2 kids from a telecasted interview, scheduled to publicize Friday on ABC, in which Peter Cook explains his involvement with an adolescent and his cyberspace pornography leanings. Only a judge on Thursday refused her petition to call off Cook's weekend visit with the kids, his attorney Jim Winkler reported. Winkler stated the decree was unneeded and that Peter bore no intent of revealing the kids to the Barbara Walters interview on "20/20." Brinkley attorney Robert Stephan Cohen didn't right away return a phone call looking for verification. Cohen registered papers on Wednesday looking for a temporary restraining order and a postjudgment order, stating in an argument, "His rearing has to be outside from his house and he can not uncover them to the `20/20' television program." The once wedded couple was Brinkley's 4th and Peter Cook's for the first time.