My father married his new spouse while he was still married to my mother, Can his new wife be deported because the marriage is technically false?

Hello, Your step-mother can file for Adjustment of Status if she corrects this error. If she "remarries" your father after he divorces your mother, she can file for a green card and will not be  out of status and so can avoid deportation. Notes: This information is of a general nature and is not, nor is it intended to be, legal advice. You should consult an attorney for advice regarding your individual situation.