NEMA 17 200 step/rev 12V motors in circuit with Arduino MEGA shorting

Those motor shields are a very poor choice for driving a stepper motor. They are meant for controlling DC Motors.

Have a look at Stepper Motor Basics

You need to post a link to the datasheet for your stepper motors. Nema 17 only defines the width of the front face (1.7 inches)

...R