Support weapons do one of two things
1) Fix the enemy in place to allow troops to maneuver
2) Kill the enemy
In WW2 the US Army went with #1, the .30 cal M1919 MG had a low rate of fire and high dispersion. It was outstanding at keeping the enemies head down, but against a single point target it didn't work all that well. The BAR had a very small magazine that either made it a magazine fed rifle, or a really crappy LMG. US doctrine emphasized using supporting weapons (MG's, mortars, etc) to pin the enemy to allow the rifleman to maneuver to their flank and kill them with aimed rifle fire.
Germany on the other hand believed their support weapons were for #2 the MG34 and MG42 were both very accurate for a MG. The MG42's extremely high rate of fire ensured target area saturation, making them very effective killers. The high rate of fire and low dispersion however made them relatively ineffective at pinning a large unit in place, as ammo was soon exhausted and the beaten zone was small. German doctrine during WW2 was to emplace the MG's in the most advantageous position and use the rest of the rifle squad to prevent enemy troops from closing to destroy it. The support weapon in a German platoon was actually the rifle.
The US military over the years has continued to go with #1 as their method of usage. Squad level machine guns are not designed to be definitive man killers (regardless of folks putting optics on them), that is reserved for the rifleman up close. Doctrine has evolved in our current conflict to use the supporting arms to pin the enemy to allow troops to maneuver AWAY from the enemy so we can drop a JDAM on them. With our complete air superiority it makes sense to do things this way.
In more isolated circumstances, I think the current trend in the US military to load down the individual solider works against the usage of supporting weapons to fix the enemy. It's very difficult (and down right exhausting) to out maneuver a lightly equipped enemy, even when they are only foot mobile, when we're forced to do it on foot. If we're going to have troops haul that much gear and be relatively unmaneuverable, our current support weapon systems should transition to being the primary killers. Otherwise we should lighten our troops load to again give them the tactical mobility they need to do the job effectively.
-Jenrick