The validation of divorce decree granted in a foreign country which is not in accordance with the rules of Indian laws may not be entertained.
If you both have been living separately for more than a year away from each other then you can file a petition jointly before the jurisdictional family court which in the normal course of time would be disposed within six months.
In fact you both can jointly file another petition seeking waiver of six months waiting period within 10 days of filing the mutual consent divorce and can request the court to dispose the case immediately.
The divorce decree granted by a US court would not be recognised as legally valid in India especially on ther grounds what you have stated.
Therefore a remarriage again in US on the basis of US divorce will not be legally valid in India, you cannot register the subsequent marriage in India as the previous marriage is subsisting.
Why do you want to take a risk.