AndyL is talking out of his ass again.
First off your fence posts are fine if they're at 3 feet, his whole speal about frost lines/5-6 feet is bullshit too.
I own 2 cats, both with auger bits used for fences, both of which are 4.5 ft long and in 11 years have NEVER had a problem. Most people go anywhere from 3-4 feet deep. This is why every wholesaler/chain store carries TONS of 9 and 10 ft 4x4 posts and many places don't even have 4x4x12s. Think back to the last time you saw a fence package with 12 ft posts, I see packages every day and can't.
As for the frost line that he speaks of. We start drilling in feb usually, and the DEEPEST frost I have found in calgary was 2.5 ft and that was crazy. This year our winter was very mild, and frost went anywhere from 8-10 inches.
Buttttt.......
To answer your question if that would support your wall. I'd say completely change your plans, there's a few key things I see that will make it fail. One being the bracket idea instead of putting the 2x12 off the face of the post, second being the 2x4 spiked in the ground instead of having proper posts every 4 feet.
If you want then shoot me a pm and I can tell you how exactly to build it to make it perfect.
We stopped checking for monsters under our beds when we realized they were inside us.