JPFO is not a lobbying group.
Not completely true, but mostly they are an educational group. But so is the SAF, it's the associated CCRKBA that is the lobbying group. SAF also supports gunowners in court, thus their support for Heller. Which case BTW, the NRA originally opposed.
NRA has been big in lobbying. But not so good in really pushing the RKBA in the Courts. SAF has been better in that area.
NRA, SAF, GOA, and JPFO all filed amicus briefs in Heller.