ART. 4... Balk. If there is a runner or runners, any of the following acts by a pitcher while he is touching the pitcher's plate is a balk:

To answer your question - he is still in contact with the plate when the feint is made, I say balk.

To answer your second question - find another partner who doesn't take it upon himself to overrule you every time he doesn't agree with you. A partner should NEVER attempt to overrule your call. If you confer with him and agree with his assessment, the call to reverse lies only with YOU.