He needs to put points into two handed fighting though. Otherwise he'll have a -6/-4 attack modifier. If he does though he should be able to reduce it to -2/0, negating it almost entirely.
I'm going to be that person but what system/edition/game are you talking about? Points sounds like 2nd edition with the way they do specializations, the penalties sound like 3.5 or Pathfinder, -6/-4 isn't one of the possible penalties though (and it would be listed -4/-6), two handed is usually a term to describe a two handed weapon not two weapons
I've always thought those rules were mostly inspired by Aaragorn, of course. I think he's also why we keep getting a 'ranger' class that never works quite right if balanced, or is overpowered.