Upon winging, I received commercial equivalency for Airplane SE and ME w/ CL thrust restriction. Also have served as a MEI in T-2C, and F/A-18 E/F (both CL thrust according to FAA). And currently serving as SEI in T-45C.

Would it enhance my application to do an MCI (through Sheppard, for example) in order to get CFI, CFII, and MEI designations? ...or would my pedigree stand on its own w/o all that once I have the ATP completed? (Word is, the FSDO that "overlooks" the CL thrust when doing MCI, so I am considering punching that ticket)

OR, alternatively... should I just wait to do the MCI until ATP check is complete (and having done the required Vmc maneuvers)?