Courteney Cox's Engagement Is Off

Courteney Cox and her fiance rocker Johnny McDaid have broken up, and called off their wedding -- but we've found out they fought like hell to make it work.

Sources close to the former couple tell us the Snow Patrol guitarist packed up and moved out of Courteney's homes in Malibu and L.A. shortly before Thanksgiving. We're told he flew back home to England.

They got engaged in June 2014 after 6 months of dating, but we're told they've been struggling over lifestyle choices: She enjoys going out with friends, but he's more low-key and private. Photogs last spotted them together back in August.

Our sources say they tried going to counseling to work out their issues, but finally they mutually decided to end things.