If Lisa Madigan runs for mayor of Chicago (a big if kids I know that) and then wins the race the governor names the replacement.
So it is possible if Brady gets elected governor Republicans might work to get Lisa elected mayor so a Republican could be named Attorney General.
So then if you are Mike Madigan do you really mind a Governor Brady? In one option you end up with Republicans helping to get your daughter elected mayor.
Yeah it's far fetched but it is interesting.....