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The "habitual residence" of the children is what needs to be confirmed to establish jurisdiction for child support. If you have lived in FL for longer than six months (requirement for habitual residency) then the state of FL should have jurisdiction over the child support case and his motion to dismiss should fail.
There are many possible grounds for the motion to dismiss, there is no way for me to be able to answer that one. It sounds as if he may be trying to set aside the default. If so and he is successful, you are no worse off than you were when you filed the original petition, you'll just have to deal with him through the court system.
Best of luck to you.
I agree it's probably more correct to call it a hearing.
There is no way to be sure what a judge will do with anything that is in front of them. The person who could would be the richest attorney in America :) .
FYI - motions to dismiss get filed regularly and on a percentage basis few actually succeed. You probably want o trust your attorney to handle this one and it is likely to fail on its own.