Great question.
If you are a beginner, we would suggest learning to play right handed since you use both hands anyway. And you'll be better adapted on your fretting hand, which is the one that does most of the intricate work!
Jon Broderick, the Guitar Tricks founder is a lefty himself, and this is how he learned. We don't have any lessons available for the left hand position, though.
You are not asking too much of your other hand. You just need to practice playing right handed and it will get easier with time. I suggest going through the Guitar Fundamental lessons with your right hand to adapt to playing that way. By practicing each lesson you will increase your speed and accuracy, it's always good to learn the basics.
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