Also, alcohol consumption increases the risk of breast cancer, and while it's recommended that men can have two glasses of wine a day (but it's not recommended to start drinking if you don't already do so), women should stick with one.
There are antioxidants in red wine, but they are also found in grapes and grape juice. That may be what the study was focused on.
When I see studies like this, I always wonder who funded them (like wine manufacturers, for example! Read T. Collin Campbells "The China Study" for an interesting 'insider's' look at how results of some scientific studies are skewed to get certain results.)