Well, I’m not a conspiracy buff...but OK, what would happen if there actually WAS absolute proof that he was not born here? Very clearly, he would not be eligible to be the president of the country. So, what, exactly, happens to every single executive decision? Every bill signed? Every executive order. At the very least, it would be world financial collapse. At worst...?
So, there are a lot of people who DON’T particularly like him that have a very great interest in keeping things, if any, under the rug.
Doubt Americans will receive the money back zer0 spent.
However its very unlikely that he resigns due to “eligibility problems” if this is indeed the case. This is true for a number of reasons.
Reason 1: How likely is he to all of a sudden say ‘You got me it was a fair cop I will go’? That is not going to happen. At a minimum he will drag it out in court until the case becomes moot, he is out of office and the “public” is sick of it. Also there will the rising ire in the urban areas that will scare people.
Reason 2: It would permanently break the connection between a certain urban demographic and the Rat party. Even though (with the exception of 2008) the group votes in low numbers, those numbers are almost exclusively Rat. Even more Rat politicians would lose their seats because they rely on these “reliable” numbers for their margin of victory.
Reason 3: GOP elite fear a “Watts times 10” reaction in urban centers and anywhere there is sufficient numbers of this demographic. They think the “Apprentice-Watching-American-Idol-Watching-Other-Brainless-TV-Shows-Watching” US public will blame them for the considerable lives lost, property and national economic damage. I don't know if the US public is that “brain-addled” or not regarding the US Constitution. My gut tells me the GOP elites are right about this. (That makes me feel very sad!)
I don't think there is any likelihood of 'world financial collapse', in fact, probably the opposite would occur, if 0bama was thrown out of office due to ineligibility. However, it is likely there would be a Republican resurgence and most of his executive and legislative legacy such as the health care takeover would be discarded or nullified if it hadn't been previously due to other causes.