The face of the bar towards the area that was not kitchen would get a receptacle or two in it ... or you can put in a floor receptacle if that is not possible/acceptable.
I have the exact situation you are talking about in my house. We knocked out the wall between the kitchen and living room and installed a cabinet peninsula with a counter top on it. I serve the counter top with a receptacle at both ends, one on the wall, one below the counter from SA circuits and the 210.52(A) wall outlets on the living room side are fed from a general lighting circuit. My wife didn't like me cutting holes in her pecky cypress wainscoting for 2 duplex receptacles but "rulz is rulz". We use all of them. I found some wood covers that match up fairly well.
