In reality, there is an oath to support the Constitution in Article Six that all congressmen and senators take when entering office.
Part of that Constitution, The Twentieth Amendment, Section 3 requires that they, Congress, ensure that the President elect shall have qualified or they, Congress are to name an interim President. Here's the text itself.:
"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, then the Vice President elect shall act as President until a President shall have qualified; and the Congress may by law provide for the case wherein neither a President elect nor a Vice President elect shall have qualified, declaring who shall then act as President, or the manner in which one who is to act shall be selected, and such person shall act accordingly until a President or Vice President shall have qualified."
A few notes.
1. There is no such position as a "President elect", legally, until such a time as Congress has accepted the results of the electoral college votes and a person is actually named as the "President elect". This means that the term "shall have qualified" refers to something other than the results of winning an election. There is only one place left in the Constitution having to do with "qualifications" for the office of President, that being the eligibility requirements from Article two.
"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; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty-five Years, and been fourteen Years a Resident within the United States."
2. Since it is the duty of Congress to name an interim President in the event of a President elect's "failure to qualify", they, Congress, must know whether or not to do so. This means that they, Congress, must be aware of whether or not a President elect meets the eligibility requirements from Article two. It is the burden of the President elect to "qualify" or "fail to qualify", thus not proving one is eligible under Article Two to Congress is the same thing as failing to qualify.
3. How was Obama's eligibility proven to Congress without a valid long form birth certificate? He apparently does not possess such a thing or we would have seen it a million times by now.
4. The eligibility requirements start out with two simple words which forever preclude anyone who "fails to qualify" from serving as a legal president, "No person". Someone who sneaks in because Congress failed to uphold it's responsibility to enforce the Twentieth Amendment, section 3 doesn't legally exist. The Constitution cannot be fooled just because Congress didn't act when it was supposed to. A President elect either qualifies or he cannot ever be President, period.
What we have is a Congress that did not uphold it's oath to support the Constitution and a usurpation of the office of President is the result.
There is a credibility problem alright, one of this government with it's own citizens.
The question we are all trying to answer is why all of our elected officials ignore the now obvious fact that Obama is ineligible.
The answer is simple. We can't undo what has been done. If we tell the world we ignored the safeguards of our own constitution and put a man in charge of a nuclear arsenal powerful enough to kill everyone on earth we as a nation will NEVER recover as the accepted leaders of the free world. How could we justify being the most militarily powerful nation on earth if we don't even bother to make sure the man in charge is legitimate? The entire globe would turn against the U.S.
So our congressional leaders are well aware that we've made a terrible mistake as a nation but we must maintain plausible deniability to the world.
As much as I want to see Obama removed from office I am confident it will never happen for the reason I've outlined. No court case will ever get off the ground. No conclusive evidence of ineligibility will ever be found.
The powers that be will make certain this issue remains just a conspiracy theory. I would also add this is most likely the correct course of action for our country.