a) If you could prove that these organisations were funding al Qaeda et al, shouldn't this be in a criminal court rather than a civil one?
Since only a governmental entity can prosecute a criminal action, that really isn't an option for civilians. There's no reason a criminal action can't be brought later if there is merit. Civil and criminal are not exclusive of each other.

No judge will shoot this suit down for fear of commiting political suicide.
Federal judges are appointed for life. They answer to no one and never have to stand for re-election. Due to the diversity (international) of the defendants, this case must be brought in federal district court. If the judge thinks a motion to dismiss is appropriate, s/he will grant it, you can be sure.