Additional details are needed, and you many need to rethink the motor drive.
The 100:1 drive leads to 0.018 degrees of shaft rotation per full step or 0.009 degrees per half step. How will the shaft rotation be used to drive the camera platform? Is there an additional gear ratio to consider?
One major consideration is that microstepping does not produce accurate fractions of a step. Instead, microstepping is intended to help avoid motor vibrations and resonance effects at certain speeds.
Microstepping also dramatically reduces the torque increment per step, so unless your mechanism is very carefully constructed, the drive may skip steps.
You claim to need 3.714 steps per second, but there is no reason to move the platform every second. Choose a different time step that leads to an integral number of motor steps.