OBama is eligible until proven uneligible, only he can't be proven ineligible by the courts as that is a specific enumeration given to CONGRESS -- which through the negative affirmation process, implicitly deemed Obama eligible.
Eligibility is a legal question not a political question.
Political questions do not provide fixed standards, but ever changing standards... which is not a standard at all.
Legal questions are resolved judicially by determining facts and applying law.