Wrong. They are adding a requirement to run for President. If the founders wanted states to make their own requirements, they would have stated so in the Constitution. The state of Commie Fornia decided to change the requirements which is unconstitutional, and they know it.
No, the person can still run for president, they are not stopping them. You are just making things up.
No, what they are saying is HE CAN'T run for President in their state. Again, totally unconstitutional.
That's like my state saying before the Romney election, all contenders must provide their college transcripts and original birth certificate. Do you think my state would have been able to do that for DumBama's reelection?