I think Kato turnouts have a single coil motor.
If so, that would require a DC power source around 14 or
so volts. What you have would require a rectifier
which can be made with 4 diodes.
However, you would need temporary switches
(buttons) to operate each turnout.
Here is a very good 'switch' for turnout motors.
They include a built in Capacitor Discharge unit
that protect the coils from accidental burnout.
They also include terminals for trackside or
panel indicator lights.