The media does their best to confuse and lie about the issue. The devil is a master of confusion and noise. The mere fact that Obama's father was a British subject disqualifies Obama from being eligible...that is the argument...very simple.
But nobody's talking about this issue. Trump sure isn't. His own children wouldn't meet the Vattel definition on NBC.
Instead, the issue of Obama's eligibility has been co-opted in the public eye by the birth certificate and the absurd (in my opinion) conspiracy that 50 years ago a teenage American girl jetted off halfway around the world to give birth to the future President in a mud hut in Kenya.
And when Obama finally gets around to showing his long form BC, and there's a good chance it will be perfectly valid, the issue of his eligibility will evaporate and the people who challenged it will be made to look like fools.
Meanwhile, the very valid Constitutional questions of what defines a Natural Born Citizen will remain unanswered and those continuing to press the issue will look like cranks.
Another way to phrase that, is that because Obama's father was a Brit at the time Obama was born, Obama was himself part Brit - the Brits had a legally enforceable claim for Obama's services to Great Britain.
BHO Sr was a Kenyan national studying in the US on a student visa. He impregnated a young white female, a US citizen, a child was born ... where this child was born is of no consequence ... the father was a foreign national ... his offspring cannot qualify to become POTUS. What is it about this concept the liberals in the MSM can't grasp?