You will see this "issue" in every activity where left and right sides of the body work independently. It is very normal and one simply has to be aware of it and practice
The more specialized the activity, the bigger the discrepancy. The brain always favors one side, but with practice you can almost completely eliminate this discrepancy.
Interesting story: I have a twin brother who (unlike me) was left handed. When we were young, left handers were regarded as odd, so my parents actually forced him to write with his right hand
: . At the beginning it was a disaster as he constantly wanted to write with his left hand. After about 1 year, he became comfortable and eventually became a right-handed person. But only for writing. For physical activities, tennis, throwing, arm-wrestling etc. he remained (to this day) left handed.
In case you are wondering, his writing was always considerable better (nicer) than mine. And none of this affected his mental capacity, as he graduated with an engineering degree and always had better marks than me. [img]smile.gif[/img]
So never underestimate what the brain can do to your body when you put your mind to it.