Not what I'd call an accurate measurement, certainly not what I'd call "really thin". Do you own a micrometer or vernier caliper?
The reason I ask, is that 1/8" or "a little less" should be a sweetheart with a MIG. Then again, if you're truly talking about thin sheet, say 22ga, forget it, not happening. Use rivets.
Is this metal thin enough to fold by hand?