This does sound like something wrong with your controls setup. I don't experience anything like this. Maybe attach a track.
EDIT: Make sure you're not hitting your wheel brakes accidentally. That will definitely make you skid.
Was just doing some testing with Tunguskas. It seems they do well shooting down some types of AGMs like Kh-58s, Kh-25s, and Vikhrs. But they seem to ignore others like HARMs and Mavericks.
I can attach tracks if needed but it is pretty reproducible.