Several things that you could include:

1. The DNA tests run were mitochondrial DNA tests, which cannot exclude the possibility of paternal relationship.

2. The name Mariamne ws never used for Mary Magdelene in that context. It was a well known name, however: she was the third wife of Herod the Great. As for the Acts of Philip being mentioned, the name Marianme is in that 14th century work, but she isn't Mary Magdelene. Instead, she is described as dying in the Hordan River and turning into a glass box or a cloud of fire.

3. Statistics are another big aspect being trumped. They need to consider that Mary and Jesus were in the top ten Jewish names at that time period. This is a deceitful use of statistics.

James White (no, he isn't the same person as the basketball player) has been responding quite a bit to this the past few days. He's even dedicated a category of his blog to "Tomb Issues." He also plans to write a short book in response to all this.

True godliness is a sincere feeling which loves God as Father as much as it fears and reverences Him as Lord, embraces His righteousness, and dreads offending Him worse than death~ Calvin