Sounds like the wheels need re-balancing - that would cause the vehicle to 'pull' to one side during braking.
bad front brakes.
Steering wheel and brake pedal.
Warped rotors
You possibly have warped brake rotors on the front. Or Bad Wheel Bearings.
Most likely warped brake discs
You may need a wheel alignment, or you may need bushings.
You need an alignment.
SOMETIMES IF THE STEERING WHEEL IS LOCKED YOU WONT BE ABLE TO SHIFT OUT OF PARK. TRY JIGGERING THE STEERING WHEEL AROUND.
you loose control of steering cause your steering wheel locks up
Your AC should have NOTHING to do with your barking system, as it is not tied into the vacuum of the engine. If your wheel shakes under braking, then you need to replace your rotors and pads.
If it shakes all the time it is a tire/wheel problem. If it only shakes when braking then it is a brake problem.
Need new rotors...pads in my case, same thing happened to me...