Because of monovision, I now shoot right handed, left eye dominate. Since my right eye is my dominant eye, with distance contact on right eye I cannot see the front sight clearly.
With monovision, you wear a contact lens on one eye to correct your distance vision and a contact lens on your other eye to correct your near vision. The lens for distance vision is usually worn on your dominant eye.
With monovision, the eye that sees well for distance vision will be slightly blurred up close and the eye that sees well up close will be slightly blurred when looking at distant objects. But with both eyes open, typically the result is acceptably clear and comfortable vision at all distances.
Therefore, the term "monovision" is somewhat misleading. The two eyes still work together as a team to see clearly at all distances; it's just that one eye is clearer than the other, and the "stronger eye" will depend on whether you are looking at something far away or up close.