The private plaintiffs (the National Federation of Independent Businesses and two individuals, Mary Brown and Kaj Ahlburg) have filed their certiorari-stage response briefs in the Florida cases. More accurately, they have filed their response to the United States's petition for a writ of certiorari in HHS v. Florida, No. 11-398, and they have waived their right to respond to the states' petition in Florida v. HHS, No. 11-400.
You can access their response brief in HHS v. Florida here. And you can access their waiver in Florida v. HHS here.