Steering Wheel Wobble

You need to determine if it's the horn or the alarm. My Montero (not Sport) had 3 horns. All 3 of which go off w/ the Alarm, but only one is connected to the horn on the steering wheel. I could not make mine go off w/o pulling the relay under the hood.

My spring was bad in the steering wheel. I was able to bypass the wire using instructions that I actually found on a Mitsubishi Forum. Link below:

http://mitsubishiforum.com/forum/mitsubishi-montero-montero-sport-14/horn-wouldnt-stop-2003-montero-limited-how-i-fixed-37779/

or

http://www.pajero.guru/how-to-fix-pajero-stuck-horn-problem-step-by-step-guide/

Check the connection to the horn? be sure they are properly grounded. Also the horn switch on the steering wheel may be not making a connection with the ring plate behind the steering wheel and before the column.

if you have a vibration only while braking and only in the steering wheel then you have warped front rotors causing the problem. there was a time when you could have the rotors turned and reused. but the way they make rotors now(too thin to start with) you will have to replace them, make sure the wheel nuts are torque to spec.

4 wheel switch need to be replace or repare it

check your wheel bearings

vibrations in the truck and the steering wheel moving im assuming small movements left and right sounds like you have a broken tred or belt in one of the tires i would start with the front ones because of the movement in the steering wheel. it dosent do it at lower speeds because it takes a certian speed to cause the tire to roll out of balance this is probily the feeling you are getting in the steeringwheel and in the truck over a certain speed. its had to spot but sometimes you can jack up the car and spin the wheel by hand without removing the wheel to see if there are any lumps or high and low spots in the tire as it turns. as i said start with the front tires they are the ones that will cause the steeringwheel to move like that.. if you have tires that are under warranty they might do this check for you. the car will stay in allignment and hold good pressure if this is the problem.

did you check the lock mechanism under the wheel at the dash? you have to relock the wheel it sounds like by pushing the lock lever

Like for like on the bulbs
chk your brale light switch at pedal arm...... good luck

Bad 4wd position sensor located on transfer case or bad sensor located on right front axle housing for 4wd engagement position.

tranmission mount is broke change it before it breaks your motor mounts.