I've been watching this thread since he first posted it, and I'm really disappointed it took almost an entire week to get the right answer...

If you're looking down the sights and you open your opposite eye and your view changes (like you're saying happens), then you're using the wrong eye.

Since you don't really know how to shoot yet, I'd recommend switching handedness on the rifle. It's pretty easy to teach your left hand how to shoot, it's almost impossible to re-program your brain to utilize your non-dominant eye. Yes, you can force your focus to switch (blinking, squinting, etc with your left eye will force it to the right eye), but no it's not going to be as fast or reliable as simply switching hands and using your dominant eye.