if you feel that it is an issue then request all individuals on the project provide evidence of verifiable career history.
This is mandated (or should be) in the Invitation to Tender. The resulting Project Management Plan will, near the beginning, have the C.V.s of the senior company people e.g. Project Manager, Quality, Risk, Engineering, Commercial etc.
If you want to avoid speaking out internally, ask MoD when they are going to conduct an audit of the PMP for continued validity. This would be required, for example, at a significant contract amendment or when one of the named officers left. That would be a good excuse and seen to be at MoD's behest. The audit should drill down through the management chain, although wouldn't be too bothered about very junior staffs.
To take Dervish's point (I know who you're talking about - he's no longer at ABW as he got promoted) I have known companies who have done this in reverse, challenging MoD staff suitability.