Well, most of us are living in the real world and in the real world, the voters would not find that Vladimir Putin is qualified to be president. But, I will entertain your imaginary hypothetical long enough to say that if the American people did find him qualified and did vote for him and their electors did choose him, then he would become president. The Congress could then remove him.
In the same spirit, maybe you should consider a hypothetical. Suppose that space aliens were to inhabit the bodies of each member of the Supreme Court and that they were bound and determined to destroy our constitutional framework. Under those circumstances, would you still think that the Supreme Court should have a major role in reviewing the qualifications of all presidential candidates?
Maybe we're wasting our time imagining hypotheticals that involve Putin and space aliens.
I know you sincerely believe that Obama is not constitutionally qualified to be president, although it's never been real clear to me why you are so certain of that belief. If you were afforded a courtroom to prove your case, I don't believe you would show up with so much as one witness who could competently testify that Obama was born anywhere but in the United States and I don't believe you would show up with so much as one witness who could testify as a witness to his conception. I don't think you really know where any of our presidents were born or who their fathers were other than what you've read in books written by people you don't even know.
The harsh reality is that the voters and their electors heard the arguments that Obama was not born in the U.S. and heard the arguments concerning his paternity and its relevance and after hearing all that, the voters and electors rejected your theories and facts. You are entitled to believe that they were wrong to reject your claims, , but the important fact is that they did not think they were wrong and they were entrusted by the Constitution to make the call.
If it is of any consolation to you, try to remind yourself that, aside from what you've read or heard, you haven't got the slightest idea whether any our prior presidents were "natural born citizen" no matter how you define that term. Uncertainty may be uncomfortable at times, but it's an unavoidable aspect of our human experience. Uncertainty is unavoidable, but you choose the level of misery that you experience because of it.
You didn’t address the question. Would it violate the 2nd Article of the Constitution and the 20th Amendment if Vladimir Putin became President and acted as President?