I think maybe focus less on getting that Brigade, use the points you'd save on bulking out your units a bit.
At 2k I run a Battalion + Vanguard (whatever the Heavy Support one is), allowing me a good few number of Skitarii, 2x Onagers, 2x Kastelans, Cawl and a Knight, still with 7CP.
With this in mind. I would drop all your Elites, use the points to get another Onager then use these and the Techpriest to make a Vanguard Detachment.
Keep the Sydonians, they should do ok.
In regards to the Skitarii, bulk out the units a bit. I know they're susceptible to Morale, but I've had more success running large numbers. Here's what I'd run at 2K.
5x Ranger w. 2x Arquebus
10x Rangers w. 3x Plasma
10x Vanguard
10x Vanguard w. 3x Arc
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