Incorrect.
The States hold the elections and it falls to the States to determine eligibility of each person who appears on their ballots. This is one duty of a secretary of state in each of the 50 States of the Union.
When Nancy Pelosi fraudulently and perjurously certified to the State of Hawaii by letter over her signature as Great Stone Head of the DemonRat Party, she arrogated power not hers, and infringed the sovereignty of Hawaii.
Hawaii was not going to allow Obama on the ballot. On the eve of the election, Obama made a pretended trip to Hawaii to "visit Grandma" because she was ailing -- NOT !!!
Actually, he was there to attend a hearing, the subject of which was his appeal of Hawaii's refusal to list him on their ballot. The meeting was secret, with God knows what said by whom to whom, and the result was that Obama appeared on the ballot of capitulating Hawaii.
The secretaries of state of the 50 States, if this issue continues to be aired by Trump et al., may indeed exclude Barack Obama from their ballots in 2012.
And why not? If he in fact is a huge fraud, why not?
States have in fact excluded names based on SoS eligibility determinations.
But I think it is important to advocate that presidential eligibility is ultimately a function of the US Congress. State voters vote for electors, and the name on the ballot is just a convenience for the voter. The name on the ballot has NO legally binding meaning or significance. Most of us vote for electors; and electors vote for the named candidate for the office. The electors are qualified to be electors. The question of eligibility of the presidential candidate is ultimately a US Congressional function.
And the US Congress is not faithful to the constitution.