Wow..I actually know one of these.
She is from the northern suburbs and self-identifies as an independent. She leans Democrat.
Obama as a change from Bush - couldn't stand W. Kirk because he's a "good Republican" - a popular sentiment among suburban indys. She'll vote for him again in 2016. Johnson because although she hated Romney with a passion, was unhappy with the Obamacare roll-out and knew Illinois wouldn't be in play, so Johnson was the protest vote. Durbin for the same reason many other indys did - he is seen as honest and effective.
In 2014 she voted for Pat Quinn because she is in the teacher's union and therefore disdains Rauner. Probably voted for Quinn in 2010 as well for similar reasons.
If you took Johnson out and replaced him with Obama 2012...
Obama 2008/Kirk 2010/Quinn 2010/Obama 2012/Durbin 2014/Quinn 2014
then that would probably describe a lot of teachers in the suburbs, as it is all Democrat but Kirk, who, like I said, is popular in those areas. Of course the quirk in OP is Johnson 2012, which is pretty cool that I actually know someone that fits the description.
That is pretty cool. If they admire honesty in Kirk and Durbin, though, I would think they would have voted for Grimm in 2014. Then again, Illinoisans seem to have a bit too much faith in the honesty of their Governors.