Hello my name is ***** ***** I am delighted to answer your questions today. I have 35 years experience as an immigration lawyer.
I would see you being eligible for a waiver of the 212e 2 year home residency rule for two reasons:
If you believe that you will be persecuted based on your race, religion, or political opinion if you return to your home country, you may apply for a persecution waiver. This waiver basis requires that you submitForm I-612, Application for Waiver of the Foreign Residence Requirement, directly to USCIS. USCIS will forward its decision directly to the Department of State’s Waiver Review Division. The Waiver Review Division will proceed with the waiver recommendation under this basis only if USCIS makes a finding of persecution.
4. Exceptional Hardship to a U.S. citizen (or lawful permanent resident) spouse or child of an exchange visitor:
If you can demonstrate that your departure from the United States would cause exceptional hardship to your U.S. citizen or lawful permanent resident (LPR) spouse or child, you may apply for an exceptional hardship waiver. Please note that mere separation from family is not considered to be sufficient to establish exceptional hardship. This waiver basis requires that you submit Form I-612, Application for Waiver of the Foreign Residence Requirement, directly to USCIS. USCIS will forward its decision directly to the Department of State’s Waiver Review Division. The Waiver Review Division will proceed with the waiver recommendation under this basis only if USCIS makes a finding of exceptional hardship.
Since the US government takes a special interest in protecting it's citizens from harm in a country with terrorist ideals towards us I think your best petition would be based on #4.
In the event your hardship waiver is denied you can file for asylum despite the 1 year having passed because the situation in Iraq has changed drastically in just the past few months.
Your other option is to file both the J1 hardship waiver and the asylum request now before your one year expires.
In either case you absolutely do not want to do this on your own and want to retain a lawyer with experience in asylum cases. Most of the same evidence for the asylum will be used for the basis of the hardship claim.
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