I downloaded your example. This model is complicated by being a Composite Layup and I find the bonded contact doesn't translate, even through it is MPC contact.
I created a simple solid body with bonded MPC contact. Here is a link to the ANSYS archive:
I wrote the NASTRAN BDF file from the ANSYS Modal analysis:  I was able to run this in NASTRAN. It ran perfectly and gave very similar results.