Once the electoral college votes for a president, that person is president elect, and will assume the office when sworn in. There are no constitutional mechanisms for a court to interfere in that process. If the electoral college had decided to elect Al Gore as president, instead of George Bush, that would have been constitutional. They could elect the cleaning lady, no matter her citizenship or age, if they so choose.
Like everything, there is a balance to this power. The electoral college can select, the congress can eject. Congress doesn't even, however, have standing to demand the birth certificate, but a refusal to comply with the request can be taken into account if there were to be an impeachment bill contemplated, and then voted upon in the Senate.
Our ire shouldn't be directed at Obama’s hiding of something likely embarrassing, as I'm pretty convinced that it is something pretty minor, but more at the 50 secretaries of state who failed to find out if Obama was constitutionally permitted to be on their ballots. Not just once in the primary, but also in the general. At least some of them have to be those who believe in the constitution, and I really want to know how they sat on their hands and asked for less proof of identity than I have to give the DMV to get a driver's license.
To summarize: Congress has to ask for the birth certificate, and we need to nail each and every one of these secretaries of state to the wall to ensure that they get the same proof of identity from those running for ANY office that we have to submit to DMV to get a driver's license.
The bigger issue is that the 20th Amendment was not adhered to;
Amendment 20 - Presidential, Congressional Terms. Ratified 1/23/1933.
3. If, at the time fixed for the beginning of the term of the President, the President elect shall have died, the Vice President elect shall become President. If a President shall not have been chosen before the time fixed for the beginning of his term, or if the President elect shall have failed to qualify...
Note; the ‘President elect shall failed to qualify’
After the DNC nomination, prior to and after the General election, and again prior to and after the electorial college, challenges were raised to the courts, representitives, senators, and cases filed, that the citizens of the United States challenged the eligibilty and qualifications of the candidate, President elect Barack Hussein Obama, all the above failed in their sworn duty as elected officials, judicial representitives and with a complacent media allowed an undocumented illegal and unvetted British subject free reign over the citizens and law of the United States.
Apuzzo sued Obama before he was elected and after he was elected.
Horse Apples.
No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President
...
The judicial Power shall extend to all Cases, in Law and Equity, arising under this Constitution, the Laws of the United States, and Treaties made, under their Authority
There is no specific mechanism for enforcing most of the provisions of the Constitution. Someone who is not eligible cannot be President, no matter any election results, or any oathes taken. The Courts, under the power granted in Art. III sec 2, can rule on eligibility. Not Eligible == Not President. No "removal" required.