The courts have ruled otherwise:
Allen v. Obama, Arizona Superior Court Judge Richard E. Gordon: “Arizona courts are bound by United States Supreme Court precedent in construing the United States Constitution, and this precedent fully supports that President Obama is a natural born citizen under the Constitution and thus qualified to hold the office of President. Contrary to Plaintiff’s assertion, Minor v. Happersett, 88 U.S. 162 (1874), does not hold otherwise.”—Pima County Superior Court, Tuscon, Arizona, March 7, 2012
http://www.scribd.com/doc/84531299/AZ-2012-03-07-Allen-v-Obama-C20121317-ORDER-Dismissing-Complaint
Purpura & Moran v. Obama: New Jersey Administrative Law Judge Jeff S. Masin: “No court, federal, state or administrative, has accepted the challengers’ position that Mr. Obama is not a “natural born Citizen” due to the acknowledged fact that his father was born in Kenya and was a British citizen by virtue of the then applicable British Nationality Act. Nor has the fact that Obama had, or may have had, dual citizenship at the time of his birth and thereafter been held to deny him the status of natural born. It is unnecessary to reinvent the wheel here. … The petitioners’ legal position on this issue, however well intentioned, has no merit in law. Thus, accepting for the point of this issue that Mr. Obama was born in Hawaii, he is a ‘natural born Citizen’ regardless of the status of his father.” April 10, 2012
http://www.scribd.com/doc/88936737/2012-04-10-NJ-Purpura-Moran-v-Obama-Initial-Decision-of-ALJ-Masin-Apuzzo
No court has ruled that Obama is ineligible. No state denied him access to their ballot in 2008 or in 2012. Every member of Congress voted to certify his electors, twice.
State courts? Since when do state courts have jurisdiction over nationality law?
And on what are those state courts basing their inapplicable rulings, anyway? I see no statements in either case asserting that U.S. Secretary of State Bayard’s citizenship determination that U.S.-born Richard Greisser wasn’t a born citizen was incorrect.