O.K. on the vid. That's a big help. Servo shake is not unusual in an unloaded mode, e.g., with the truck on a test stand. Try moving the transmitter (aka Controller) further away from the truck. The shake may go away. Big thing is does not do the shimmy when sitting upright on the ground.
Can't be 100% sure on viewing the vid but looks like the servo arm has a lot more travel left (CCW) than to the right (CW). Perhaps this is necessary due to the steering set up on the MT10? Is the stg trim and D/R centered in the vid? If so, possible the servo horn (arm) is off a spline and allowing too much arc to the left. Try removing the arm carefully and moving it 1 or 2 splines in a direction that will center the steering movement.
Having to set in a lot of stg trim to get the truck to go straight is usually an indication a re-set of the servo arm on the spline shaft of the servo is in order.
Oh, and if you go with an aftermarket servo, be sure it has a 25T spline listed in the specs so your AE steering horn will still fit.
Hope this helps. Cheers. 'AC'