If the sulfate free shampoo contains Cocamidopropyl Betaine or Cocobetaine it will remove all silicones. See here: What's the Scoop on Silicones?

Pomtango, according to the link you supplied, your shampoo contains Cocamidopropyl Betaine, along with 3 other cleansing agents. Your conditioner link didn't have an ingredients list, so check your bottle for silicones (end in -cone, -conol, or -xane). If it's silicone free too, then unless you've used a silicone product since starting CG, your hair should be silicone free.
Originally Posted by Geek_Chic
I thoroughly checked all the bottles for the Live Clean Argan line and I don't see any cones (no -cones, -xanes, or -conol). Though not mentioned on the bottles, I found this about their silicone-free policy:
(page 2)

I'm pretty sure my hair is cone-free. I've stuck to AG Curl Activator and HE Totally Twisted prior to CG, and recently Suave Naturals Coconut and Tresemme Naturals Nourishing conditioner.

Good to note about Cocamidopropyl Betaine and Cocobetaine.