More than likely its just Google's attempt at protecting itself before someone makes a copyright claim. There isn't anything you can really do aside from disputing the claim, which probably won't go anywhere, but you should do anyways. The only way around it would be to strip the audio from the video and correct those parts with the radio playing. You'd probably have to write down when it happens to make it easier to go back in your video. Or just simply remove all music from the game in the audio settings of the game.
Its really jacked up.
http://gamasutra.com/blogs/StephenMcArthur/20140624/219589/How_to_Beat_a_YouTube_ContentID_Copyright_Claim__What_every_Gamer_and_MCN_Should_Know.php
This article kind of sums everything up better than I could this early lol