O.k. Does a high dps actually do more damage than a low dps? I have been experamenting and seems like to me the low dps weapons have a quicker recharge time than the higher dps weapons. This seems to be the only difference to me. Any thoughts on this subject would be appreciated.
In space, yes, mostly. DPS is generally balanced against firing arc.
But on the ground, things aren't quite as clear cut. Like you point out, some of those lower DPS weapons have faster recharges on their secondary fires, but some of the longer recharge weapons have very powerful secondaries (miniguns, for example). Then there's weapons that hit multiple targets (split beam) or do AOE (widebeams, pulsewaves). Pulsewave DPS isn't the best, but even the primary attacks on those do AOE, which is why they're one of the big favorite weapons. Snipers have better DPS, but only hit a single target, on the other hand they also have exceptionally long range.