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The tires aren't 22", they are 22.5" tires, tubeless radials.
The problem is that the wheels are only 7" wide or so. If looking for a wide tire option, this probably isn't the wheel for you. Also, you can't run them tandem unless you make a set of spacers.
The bolt pattern is the same, just that the M105A3 wheels are hub centric, meaning that the wheel is centered on the hub and not lug centric, meaning centered by the lug nuts.
You may not have to swap the wheel M35/A2 wheel to get it to clearance. The tires will be close to the bed support...