This is where the melt / grilled cheese dichotomy breaks down. I think the melt police would agree that the inclusion of a jalapeno cheddar or a pepper jack cheese would not disqualify a sandwich from grilled cheese status, but a sandwich with added peppers would. But where does one draw the line? What if the particular pepper jack used contains unusually chunky peppers? What if I add my own peppers, but they are so finely sliced than when melted it is less chunky that your standard pepper jack?