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New parents Jessica Alba and Cash Warren left baby Honor home last night as they hit Bardot for drinks and dancing.

Inside the hot spot, Jess opted to skip the girly cocktails, instead drinking scotch on the rocks. "She danced all night and had the best time!" says a source.

But things got ugly when the couple exited the club...

Cash was particularly pissed at a pap who was too close to their car. "Give me your card! Give me your number!" he demanded, as Jess ducked into the car and covered her face.

Her hubby eventually gave up on trying to reprimand the pushy shutterbug, instead asking the parking attendant to get his info. Jessica's never been a fan of the photogs...and it looks like that's not going to change in the New Year!