Even if it is somehow proved he is foreign born, therefore, not eligible to be President, he still is unfortunately President...
Articles of impeachment would have to be brought up in the House...
...and he would be "tried" in the Senate...
...only then could he be removed, therefore transferring power to Joe "We're All Going to Die" Biden (would we really want THAT to happen?)
The chances of impeachment against Obama? With the D's in control of BOTH chambers?
Does anyone seriously think it's worth all this focus for something that clearly won't happen?
No. If he were found to be ineligible, then he is not now and has never been "president" as defined in the Constitution. He is simply a fraud wongfully absconding with government resources and a host of other violations. He can simply be arrested and frog-marched out the White House door by Federal Marshalls. No impeachment, no immunity from prosecution, nothing. Common criminal. Biden would become president.
Of course while all this was happening America would be burning and blood running in the streets.