A defendant charged with violating a law signed into effect by President Barrack Obama would use as a defense that the law is invalid since Barrack Obama is not legitimately the president. The defendant then has the constitution right to demand the evidence supporting Barrack Obama's legitimacy be provided to the defendant for forensic review. So point 3 is not valid.
Such a defense would get laughed out of court, unless the defendant could provide some evidence for his claim.
The defendant then has the constitution right to demand the evidence supporting Barrack Obama's legitimacy be provided to the defendant for forensic review.
No, he wouldn't. The defendant couldn't go on a fishing expedition for evidence- he would have to show evidence of his claim before any court would let him do anything.