Non-melting processed cheese: what's it made of?

I've never found smoked cheeses (including hickory farms' smoked cheddar) to be meltable. they make really good, flexible slices for sandwiches, or on crackers, but they don't melt well.

Smoked cheese, including hickory farm's brand, is a drier, firmer cheese - and the moisture levels of cheese are really important to the melting properties. If you really want to try to melt it, you would have to up the moisture level... shred finely and soak for a while and then use gentle heat with plenty of available moisture when trying to melt it. Same as with any firm, dry cheese. I've done this sucessfully with smoked cheeses, but I usually dfon't bother.

Processed cheeses usually have quite a bit more moisture added, with butter and cream and milk, to make the texture smooth and flexible and meltable. This one, whatever moisture might've been added to the original cheese probably at most offset some of the moisture lost while smoking. I think even "cold" smoking is warm(er than fridge) with moving air to get the smoke distributed - conditions which dry the cheese right out.

And smoking really is a kind of cooking, if you're used to thinking about cooked cheeses being non-melty. I think that's the rest of why even a pretty soft and flexible smoked cheese doesn't melt well, I think it undergoes (some of?) the same chemical changes that make a once-melted cheese more brittle, more oily, brighter color, squishy and floppy instead of smooth and firm, and in general less happy about remelting. That can happen just a few degrees above room temp, so it doesn't take much.