See the answer to the prior question you posted.
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You could file a petition to terminate parental rights. This is very, very difficult to get approved. You should contact a local family law practitioner since this involves the laws of your state, and not the U.S. immigration laws.
The above is intended only as general information, and does not constitute legal advice. You must speak with an attorney to discuss your individual case.
Answered 29 minutes ago. This is not an immigration question, but rather one which our family law & child custody colleagues will want to answer.
Once the father will be "removed" from the country, you will not be facing a custody any longer. The problem will solve itself. Besides, in situations such as these family court judges always deem it to be in the child's "best interests" (a legal term of art in family court) to remain in the custody of the mother. You have nothing to worry about in that front.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.