Bush sent NG into New York City under federal command for non-relief purposes due to national security. There is your answer.
Posse Commitatus does NOT apply when the event could be an act of war. The second plane striking the towers made it a potential act of war and posse commitatus no longer applied.
Hurricanes, until someone develops real weather control tech, are still not a potential act of war, but an "act of God'.
And did Governor Patak, ask Bush,? ...refuse Bush? or like Governor Blank-O, was he merely indifferent to the President? Unless it was one of the later two, the comparison doesn't fit.