I probably depends how far down the road you are, and how comfortable you are Vs how much of a hinderance it is.

I know a couple of people who are left handed and play right handed, and also a guy who plays a right handed guitar left handed, so all the strings are the other way around (my brother - he's left handed but he learned on my guitar, and just did it upside down!).

Are you hindered to the point that you can't practice your way out of it? If you swap around, you'll probably still have to work on co-ordination between hands - they're doing totally different things.... and they don't know how to do each other's job.

I think if it was me, I'd keep working on it the way you are rather than switch and start again - unless you dream of being Michael Angelo and being able to play either way. If you do, make sure you get a comedy haircut like he has... :D

And, welcome to the boards man...