I shoot right handed. When I shoot left handed I see the shot much better. Feels like I get my eyes right where they are supposed to be. I'm having a hard time getting the same picture when shooting with my right. Just weird.
Not weird at all. Use a full length mirror and a vertical line of tape above the cue ball. Looks at any differences in head angle, elevation and position relative to the line of tape when you shoot left- and right-handed. Then get the "left" head and eyes to the right hander's position to shoot better. PS. You'll know you're really solid when you bend down and know/feel the ball will sink before you take a single practice stroke...