1. A 22 mag has been known to take dogs at short ranges. I personally think it is a little light in the a$$ but that is just me.
2. A good night weapon will depend on the terrain you are hunting. I like a shot gun with 3" #4 buck, Mini-14, or my 223 Handi
3. From my experience, white lights will scare off yotes Foxes and cats seem not to care as much. Put a red filter over that light and do not shine the full intensity of the light in the dogs face. Scan the area using the halo of the light and drop the full beam of the light in the dog's face only when you are getting ready to shoot. I have never used Night Vision for hunting dogs but I have used them in the military. I think that a red light is the way to go when hutnuing preds. Check with your state laws first though.
4. If the dogs are within 100yds of your residence then they have smelled humans before. Chances are , if you urinated out side to mark your territory then you have probably urinated outside before, so the dogs have smelled that too. That will not probably keep the yotes from coming around. Especially if you have small animal/pets/ livestock running around the yard at night.