How should multiple attacks--if any--be handled? The poll breaks this up by asking if they should be penalized for multiple attacks (albeit by giving you two contradicting polls), or just make one attack that either spreads the love or just lumps extra damage on one target.
If fighters are going to get multiple attacks, then they can not be penalized. This was one of many reasons why fighters in 3rd Edition sucked so bad. Yeah you got multiple attacks faster than in older editions, but you had to spend your full turn swinging and you took a pretty severe penalty to your attack rolls, meaning that you were not likely to hit. If you are not going to give the fighter multiple attacks and instead allow it to divvy up the damage in another way or just deal extra damage, then this needs to come as a feature and not a cost. The fighter should not be forced to spend feats in a futile attempt to remain viable as in 3rd Edition.
Personally I want a fighter to have scaling damage built in. This is one of the reasons why the warblade was sooo much better than the fighter; where the fighter was doling out 1d8 damage, the warblade was stacking an extra 1d6 from a stance, and could easily roll out an extra 2d6 every other round through a maneuver. The best part? She didn't fucking have to spend a full-round doing it. Even better as you got higher level you got more powerful maneuvers that could be used with a single action, so while the fighter was wiffing with extra attacks you were landing one super-attack with a shitload of d6's piled on top.
I guess my answer is to have both: allow fighters to deal scaling damage, make multiple attacks at no penalty, and preferably have some other benefit keyed to a weapon category (so hammers could knock creatures around, swords could give a defense bonus, etc). Oh, and no feat taxes. Fighter players should get what they need to remain viable and spend their feats, talents, whatever on ways to make their character more unique. I would prefer to avoid cookie-cutter fighters of editions past.