The process should be the same as your ex-wife. Your current wife should bring original documents of divorce decree and new marriage certificate. Make sure to bring some bona fide marriage between you and your current wife too in addition to proof of your valid H-1B status in the US
You really should be seeking advice from an Immigration lawyer. Most family law attorneys are not going to have the answer you are looking for.
I am exclusively a family law attorney, practicing primarily in the metro Atlanta, Georgia trial courts. However, I handle appeals from anywhere in Georgia.
I've changed the practice area of your complaint to "Immigration Law". Hopefully you will obtain useful responses to your question from attorneys with knowledge in that practice area.
The above answer is a general explanation of legal rights and procedures. It does not constitute legal advice. Nor does it establish an attorney-client relationship between the individual posting the question and the attorney providing the answer.