You need to pull 0 grounds in your EMT, the EMT is acceptable as an equipment grounding conductor.
You have another couple of issues, though.
If you have more than 30 (31-40) conductors in any cross-section of your gutter(wireway), as well as in the 2" EMT, your conductors must be derated to 40% of their ampacity.
Check out Table 310.15(B)(2)(a), and 376.22
The #10s are too small.
Like Celtic, I would find a different way to do it.
