Oh, and this theory is an amazing thought experiment!
It is interesting to think how you would do battle though, it would basically be the first person / fastest to swing, likely killing both parties anyway.
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In any case! ^^; A light-spear. You'd be able to parry with the shaft and stab/slice the other person from beyond their reach.
But the description says "beams from energy weapons hardly affect them and just pass through." But in the movies we see blaster shots being reflected by lightsabers.
I forget if you can shoot a Jedi with a regular bullet but I'd imagine s/he could just dodge it regularly since blaster bolts travel significantly faster.
The speed of the projectile is not an issue either, Jedi use a precognition-like ability to dodge or block blaster fire. That's why a group is required, to eliminate the possibility of them dodging and blocking.