Yep http://en.wikipedia.org/wiki/Incorporation_of_the_Bill_of_Ri... the second amendment was incorporated in 2010, but most of the others were incorporated decades ago. By that data, if anything, the NRA is protecting the second amendment worse than all the other amendments have been protected.
I'm pretty sure they were waiting until the Supreme Court composition favored them before bringing a case. Heller was a 5-4 decision, filing when the court was more left/liberal could have had resulted in a devastating judicial precedent for gun owners.
The ACLU pretty regularly takes 4th and 5th Amendment cases.