You sure it is Plumbers Putty, It is soft and do get hard, it must be silicone caulk. Take a hole saw and cut a hole in plug and cut 2 places down near bottom about 1″ apart and break it out with plyers and then be carefull and cut dow as close as you can with small hand saw and take screw driver and try to break piece out till female threads are shown and then take hammer and screw driver and beat aganist plug from out side to inside and see if you can getit out, then buy a new plug.