Looks like you've cherry picked the top logs of the past day on P1S. P1S is basically a dummy fight, it's better to average all fights.
If you pick all fights for the 100th percentile, you get something already more accurate,
If you pick all fights at 95th percentile for the past day;
This means that on average for the past day, at 95th percentile, MNK does 12.65% more DPS than MCH.
BLack Mage is 7% higher than both RDM/SMN. Funny enough, SMN is overall a tiny bit better than RDM but its theorized weaker. Maybe people are getting spell speed gear for P2S optimization.
Anyways, is this balanced?
The worst Melee (Samurai) on this data is 4.8% above the best ranged physical (Bard)
Also, everything is rDPS, of course.