SCOTUSBlog has some thoughts on the Chicago gun cases.
To begin with, eight of the nine Justices have never ruled whether a Federal bill of rights liberty is applied to the States by the 14th amendment. The sole exception is Justice Stevens, who was on the Court in 1979 when it last considered a rather small subset of the issue. (back in the 60s the Court had held that the right to a criminal jury trial bound the States. In the 1979 case, it held that allowing conviction on a less than unanimous verdict by a less than 12 member jury would violate this right).