If such a thin comes about it will need be a slow and ponderous undertaking. And this is why I think it will never come about. Everyone in the know will just play for time and sweep it all under the rug.
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Sweep it, the Constitution, and our Country under the rug. Is that what your saying?
Yes, I think the legal repercussions would be never ending.
For instance, the Bailout. If Obama wasn't President then the 2nd part of the Bailout would need be null and void. Now how do you undo that. That Money is gone AND if you don't revoke it then you set a legal precedent that if someone sneaks an ineligible candidate into the White House again anything he does will remain intact.
It seems trivial but it has far reaching consequences that many on both sides of the aisle would rather sweep under the rug than force a legal tsunami that would take years to unravel.
Myself I think it needs done if Obama is found to be ineligible to hold the Presidency but Congress Critters don't like to get into a legal mess that would force Then to revoke goodies they passed out to get elected.
Besides the Insurance industry will put major pressure on anyone who talks about removing Obama from office for reasons of ineligibility. It would mean their little coup that forces all Americans to be covered by insurance would fold like a cheap suit and they spent mega bucks to buy Obama and Congress to get that crap rammed through. They will not sit back and let it get destroyed without a major fight and they know the best way to stop it, is to never let it get started!