Probably not. You would have to continue to work of the A-1/A-2 family while your case is pending and the time it would takes for the green card would be years. By then the needs of the family will likely to have changed.
You have options but need to seek the advice of an immigration lawyer to assist you. I suggest you look for a lawyer in Atlanta.
Assuming you obtained your green card through your employer's sponsorship, you may have to demonstrate at the time of naturalization that your intent when you received your green cards was to remain with that employer. If you leave too soon, it can raise a red flag. Your employer cannot revoke your green card.