1) Hindu cannot marry Muslim except under provisions of special marriage act
2) you can approach indian embassy in USA for solemnisation of marriage
3)he Embassy/Consulate may register and issue Marriage Certificate if the marriage was solemnized by the Consular/Marriage Officer at Embassy/Consulate under the Foreign Marriage Act of 1969 which requires advance notice in the prescribed form of at least one month, advertisement of notice of intention of marriage in newspapers at the place of residence and permanent residence under the provisions of the Act.