Ok, I'm fairly sure you won't go out and try to make this stuff (If i hear on the news tomorrow you tried this and blew up your face I will be very upset). The usual way for functional groups to be added to an aromatic ring is via electrophilic substitution. I hope I don't have to explain the mechanism to you. What you are proposing is nucleophilic aromatic substitution, which is a totally different animal. It works best when there's an pi-withdrawing group ortho or para to the leaving group (again, draw out the mechanism and it will make perfect sense). In this case you've got a chloride para to the leaving group. Since chloride is a pi-donating group, I would suspect that this particular reaction would be disfavored.
You've thrown up some sort of example (without reference) involving sulfides. Sulfide is a pretty badass nucleophile, so I would suspect it might be able to "throw its weight around" better than other nucleophiles. Don't get me wrong, peroxide is pretty good too, but its not as polarizable. Honestly, I don't think this reaction would work (or would at best produce oligomers), but I'm not 100% on that. The best way to tell would be to do it but that would, as has been previously mentioned, probably result in nothing or explodey death.