Apples and oranges.
Sounds like the issue in that case was custody and support—which the law rightfully will be interpretted in favor of support for the child’s benefit.
Here, the issue is whether or not Obama is a natural born citizen eligible to be President of the US. The best evidence of that is the birth certificate, which he’s hiding. The subsequent computer generated document must be viewed with distrust.
Since when did the mixing of apples and oranges become a problem in American jurisprudence?
Marbury v. Madison was about a judicial commission to the federal bench. It ended up changing the trajectory, the very relevance of the Court itself.
One might logically think an original government birth document is best, but the court has decided otherwise. The fact that the case that established that precedent isn't similar to the case before the court, isn't necessarily relative to the court.
The precedent of judicial review established in Marbury has been cited in an innumerable number of cases that have nothing to do with judicial appointments or commissions.