AMC Theatres’ CEO Adam Aron adopted a defiant tone in a call with analysts to discuss his company’s sweetened $1.2 billion (including debt) offer for Carmike Cinemas. Although he expects a “hysterical letter of protest to come out any second” from shareholders who think his new $33.06 a share offer is still too low, “I want to make one thing perfectly and unmistakably clear,” he says. “This new $33.06 price and 70-30 cash-stock mix is AMC’s best and final offer to acquire…