Thanks everyone for your help! All of the adding wire and other stabalizer ideas were excellent, but they were just too bulky in the longrun for a working costume that needed movement.
I ended up chopping the whole backside up into smaller spikes (which was so hard to bring myself to do), making a fleece headpiece and then gluing the spikes onto the headpiece. It fit nice, wasn't too heavy and was comfortable to wear. Although I loved the look of the back, it just wasn't working nor practical for a toddler.
I just wanted to share the end result, and let everyone know, that sometimes, it's okay to destroy something in order to fix it again.