In Illinois, where concealed carry was implemented only as a result of a federal court order, It's hard to say. Defeated Governor Quinn was vehemently anti-2A, so it's good to see him gone. OTOH, Governor-Elect Rauner, who's a hunter and has generally spoken in favor of gun rights, has certainly not spoken in favor of an expansive view of 2A rights.
Our Democrat-controlled legislature, which only grudgingly enacted concealed carry, remains unchanged in its composition.
Illinois has huge fiscal problems that will require compromise to conquer; spending and taxation issues will be the primary focus. My guess is that any gains for 2A rights will be small, incremental steps, but that it's not at the top of anyone's agenda. I do have some concerns, though, that Rauner, in an attempt to gain financial concessions might be willing to give ground on issues that are not of great concern to him, gun rights among them.