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You might need a co-sponsor to show sufficient funds, but overall should not be an issue if enough funds are shown based on your income
You arent the last person to have a husband who has shown disregard for the laws of this country. Poor husbands will always be among us...lol!!! You will have to find a co-sponsor for your Affidavit of Support, plus he might have to get on a payment plan with IRS. I dont remember what is required in the AOS for US citizen, I believe the G-325a, I-130. I dont think bad credit history and criminal record for US citizen who are sponsors matter to USCIS. I mean, you could be married to a triple murder manic, USCIS will approve your petition and move on, provided you provide the evidence establishing your marriage is bona fide.
OP, if you make enough - and are currently living with your husband, you can use your income to help your husband to meet the income requirement.
On F1 (OPT,) married for over a year, but US citizen husband owes taxes???