Mounting an AT9 to a deck would depend n the particular situation. In the case of a wooden deck with a wooden top rail, that is usually a horizontally attached 2x6, I'd probably dispense with the supplied mounting arm altogether.
I'd use a six foot pole, exactly 2 inches in diameter. The holes of the supplied mounting foot would be duplicated on the pole and fastened to the foot with the bolts supplied. Then, using a Dish Network SuperDish support arm kit, I's dispense with the struts and fasten the mounting ears from the ends to the two positions on the collar. The collar with the mounting ears would be placed in the inside corner of the "V" formed by the two top rails where they intersect. Two heavy duty lag screws would go through the two ears horizontally into the inside corner of the top rail. With the base going through the collar, the post would then be plumbed on both the x and y axis. Then the foot would be lagged to the inside base of the deck.
In this case, you are using the structure of the deck, with minimal hardware to make one really strong mount. The corner of the deck is one rock solid structure.