It appears that the courts are probably not going to entertain Obama's eligibility at this time without any other concrete evidence besides the common knowledge of Obama once holding a foreign citizenship and having a foreigner as a father. It becomes apparent to search documents for evidence that Obama controls access to that are held by various government agencies. If you were the plaintiff's lawyer, how would you convince a presiding judge to grant you motion for general discovery? Any ideas?
You should read my post to El Gato at 377, just above, it touches on your question a bit.
The Captain's case notwithstanding, I think it becomes a question for the court of "what's next". Even if the plaintiff can prove their case, how does the court provide relief to the plaintiff? Without an answer to that question, I don't see how the court would entertain such a case.