Question about changing my MOS or possibly transferring to Group? Anybody currently in the Army please help...?

You'll be completely at the mercy of your superiors and various S shops if you want to change units. And, keep in mind, a 35F's job at group might not be too much different from the job you're doing now. My suggestion is either a recl to humint, or if you think you've got what it takes, go to SFAS and get on a team at group rather than in support, and you'll get all the humint experience you ask for.