Off the top of my head, I can’t think of a word in English that ends with “is” while being singular, only plurals and uncountables come to mind, so I can’t really follow the examples of other words. What makes it even weirder, I’m not sure how to pronounce Illinoises… Would it be as written, or as if an Illinois was pronounced by someone who has never encountered it before? Illinoi are also meh, since now plural looks as a singular and the other way round.
It’s probably like scissors. No matter how many there are. It’s just scissors.
Example: “Can I have one scissors please?”
“I’m afraid you can not! We are not having any scissors left…“
Just the one scissor?
Someone had bough all the other scissor