There are many in world cricket that bowl right hand and bat left hand or vice versa. Even in the present Pakistani team we have three such players:
Captain himself Inzi, Rt Hand batsmen, bowls left arm off spin.
I beleive his working hand is left, as he throws with left too.
Imran Farhat: Left Hand batsmen, Rt arm leg break
Samiullah Niazi: Left Hand bowler, Rt hand batsman
Among older players i recall, Ijaz Ahmed was a left hand bowler but Rt hand bat. Curtly ambrose used to bat left hand. Ganguly bats left hand, bowls right had.
One thing is true for sure, its much easier to bat with other than ur natural hand than to switch hands in any other game. I bat ight handed but many a times switch to left without much problem, expet that i tend to play more cross bat.