MAPS SymmetryI would buy the above the next time it's on 50% off. (Actually, that would be now with code GETFIT... I just checked my E-mails. Good today and tomorrow.) And run it as written.
But what you want to do is Unilateral movements - dumbells and Kettlebells, not Barbells. Do your left side first, and match it with your right. Even if you CAN do more on your right - don't.
Always start weak side, and don't push any harder than that side can do on your dominant side. That's how you got in this boat.
Now, that's somewhat easier said than done if you don't have big dumbells, but if you do that... it'll even out, at least mostly. The size should, regardless. Your agility... well, that's why you're right handed and not ambidextrous.