We'll have to agree to disagree about me being right and you being wrong. In a last-name-first format it's Smith, Joe Junior. Junior is NOT part of the surname. Reference: http://www.chicagomanualofstyle.org/qanda/data/faq/topics/Jr.Sr.III/faq0002.html
Caution--pet peeve rant coming. Bradley's jersey is wrong. His last name is Bradley. Junior is not part of his last name. It is part of his given name. Junior does not belong on his jersey. This also applies to the myriad of other Juniors and Thirds out there who erroneously have those designations on their jerseys. That is all.
In about 2006 my wife said I might look good with sideburns like Joe Mauer had then and that I should try to let mine grow. I told her that it was just as likely for me to increase my height by 10" so I could be as tall as him too.
Interesting quirk of two teams doing as well as the Red Sox and the Yankees--if the Red Sox had won these two games against our guys they would still have been in second place behind the Yankees in the AL East but 1/2 game ahead of them.