What part of dominant hand operates the rear brake is so hard to understand? And there are no sharp bends. You can put as much curve in as you like. Nagrom how can you argue that your way is the only way whether you are left handed or right handed? There is a clear difference. No, not all lefties have to recerse their brakes, but there is a reason to do so if they wish. Hey, I didn't make this up, it is well established.
Yes OP, just remove the cables from the levers and brakes and switch them to the other levers. Then reconnect to the same brakes and you are good. Same lengths may work.