Hi Liquid,
If you can write with both your left & right, which by some means was most likely a learned skill, you can most certainly overcome the difficulties, or problems you face with the coordination or independence of both your hands.
I don't know if you drive, but if you drive a manual transmission, there's a fair bit of coordinating between limbs. That's a learned process. With time and practice, one doesn't think about which limb has to do what, you just operate the car. Race-car drivers even verbally communicate with their race managers, while coordinating their limbs to operate their cars over 300km/h.
So all that being said, limb coordination issues can be overcome.
The trick is to start REAL slow with a metronome. When you try something new, start at a snail's tempo; be very disciplined about not bringing the speed up until you've achieved the right rhythm for each limb at that speed. Let your muscles learn to coordinate slowly. Sometimes, when you've worked on the rhythm for more than half and hour and are still not getting it, STOP, take a breather, go for a walk and come back. You may find that, suddenly, your muscles know how to do the new thing at the slow tempo. Bring the tempo up a little at a time, without compromising the integrity of the rhythm (ie no cheating). And soon you'll find you've overcome the coordination issue.
Starting very slow prevents your muscles from twitching to get the desired action. Making your muscles flex and extend slowly for extended periods of time, helps to lock in muscle memory more permanently than twitching.
Hope this helps.
Peace,
Beboptang