الجواب وبالله التوفيق 

In a locality where there is no Shara’i Qazi but the Judge is a Muslim and the rulings are reached in a Shara’i manner (as a Qazi would do) then the divorce issued by the court would be final, however, however, a Non-Muslim Judge is not equivalent of a Qazi.  

Hence it is necessary both for a man and a woman to have a ruling issued by an Islamic Institute or organization, as the court decision only finishes the legal marriage, but the Shara’i Nikah is still intact. Therefore, one should contact a Shara‘i Qazi or an Islamic organization to Islamically finish the Nikah.

(لم ینفد حکم الکافر علی المسلم  و ینفد للمسلم علی الذمی ۔(دارالعلوم زکریا ج 4، ص 273 بحوالہ الضیاح النوادر

 واللہ اعلم  بالصواب