Courts are not, in fact, a one-stop authentication service. They won't even accept a document to look at unless it is called for by a case that has already passed such procedural requirements as standing. If Obama were to simply show up with a birth certificate to be authenticated, the court would politely tell him to go away. Which is what courts have also repeatedly told you folks.
Further, if any case ever made it to court, they likely wouldn't ask for Obama to produce a birth certificate to authenticate. They would receive one directly from Hawaii, which would probably be a COLB. They would accept the state's documentation as to place of birth at face value absent actual evidence Hawaii's records are incorrect. And then you guys would have a fit.
These are civil court cases, not criminal cases. Obama shouldn’t need to fight these cases if he was truly born in the United States and can prove it. And you’re spouting nonsense. His lawyers can file whatever documents they feel are relevant in such a case. You’re making excuses, not sense.