I am right handed and left eye dominate - works great for shooting pistols in my opinion. SUCKS to shoot rifles, though. Although, I FINALLY have a rifle with the scope mount high enough to shoot right handed and use my left eye - my PS90 w/ the EOTECH mounted.
If U use the weaver stance, its easy to use your left eye to see even shooting right handed. I've done it for years. If I am shooting at an outdoor range, I can keep both eyes open and see the sights perfectly. When shooting at my local darker indoor range, I do tend to close my right eye because its harder to see the sight (being black) in the darkly lit area).
U should be able to shoot fine using the eye U want w/ the weaver stance. I haven't shot isosceles since I first started shooting.