Tom Cruise Parenting Mission: Possible

1/21/2016 6:46 AM PST BY TMZ STAFF

0121-tom-cruise-fameflynet-01Connor Cruise --  an up-and-coming DJ -- may not be like his dad, but he sure doesn't mind dressing like him.

Connor and papa Tom Cruise hung out on the set of "Jack Reacher: Never Go Back" in New Orleans.

As for why the heavy jackets ... well, it was in the 60s.