I attended a fascinating talk a few years ago about dyslexia as the company I worked for were championing a Dyslexia charity, they put everyone through the same test and explained that generally people are same hand same eye - they were suggesting that only a small percentage of the population have opposites.
I am right handed but left eye dominant, so was the girl next to me, we were the only people in the room to have opposites out of about 30 so did the test a few times to make sure!
I asked a question to the person giving the presentation as it just so happened that both of us had played a lot of sports that did involve hitting stances where you were right side but left eye forward so I wondered if playing the sports for a number of years might have lead to the dominant eye being the one furthest forward, the presenter said that we would have been that way anyway
Studies have been done in South Africa on cricketers, I can't find the website anymore, but I seem to recall the findings were that it overall didn't make a huge difference.