boof -
and were entitled to stay on a visit
actually, other than a US Citizen,
no one is
entitled to enter the United States.
Even when you get your desired Green Card, the INS officer at the port of entry can refuse your entrance to the United States.
You have no rights or entitlements what-so-ever.
Two points on your training, whilst here - firstly you may find that (next year [rules are about to change again]) even your crew visa will not allow you to attend a training course whilst in the USA and, secondly, if you read the endless messages about the current siuation, they are for training on aircraft over 12,500 pounds - so your message is somewhat moot.
Last bit - why on Earth did you address such a question as "Why was it necessary to ban the family member of a known International terrorist from entering the United States" - to a flying school in Florida?? This may be a question for Immigration. Try
www.doj.gov