It makes absolutely zero sense and again highlights the pure fictional nature of the politics of HoC. They are basically trying to create fear and war in order to distract the public away from their scandals and get them to cling to them as the only savior from the coming terror. Of course, that makes zero sense and the idea of a war would make the people far more likely to want to vote for someone like Conway whose actually fought in a war.\
Full season spoilers:
I think part of the reasoning is they have Conway saying he was ashamed of his military service. It's not too dissimilar to the whole Bush vs. Kerry thing where Kerry was swiftboated and attacked as being unpatriotic.