'Minelli' is an italian surname as is Red Johns alias Tagliaferro
When Jane and the CBI go to Tiujana, Mexico in "S1 E11 Red John's friends" Minelli simultaneously has gone on holiday.
At this point Jane had resigned to Minelli.
Red John contacts the CBI team directly via computer during this holiday time. He asks "is Jane there?".
If Red John was anyone else he would have known Jane was there.