I don't recommend you do this. Apart from the fingerboard/nut issues which have already been mentioned, the internal construction is not symmetrical. The low side has a bass bar glued to the inside top, while the high side has a sound post held in by string tension against the bridge.
My belief is that you'll probably have an advantage over "rightie" beginners on the same instrument, in that you have good left-hand dexterity to begin with. I don't think you had problems last time because you were left handed. I think you had problems because learning a violin-family instrument is just damn hard.
Not trying to be a jerk, but the best strategy is a great teacher and ninety minutes (45 minimum) a day of practice. Be diligent, but also be patient. The payoff to playing a the violin (or cello, my instrument) is that your sense of pitch is going to take a quantum leap. I've never met a guitarist (only) who could really hear proper intonation.
David L. Rick
Seventh String Recording