Yes, we do. You could check out the History of Both World Wars. We Played a Strong Role in World War one, where our Soliders got the Nickname, "Stormtroopers", by the Germans.
The artist didn't put that much detail into the weapon but it looks more like a Colt Commando. And if it was in the M4 family it would more likely be an M4A1.
It is the C8 carbine, I'm surprised it's actually modeled off of Canadian issue. Though they usually use the C7A2 in the field. Though I'll be honest, I've never seen one with a muffler. It could be a C8SFW, which was developed for special forces operations. Don't quote me, I'm no weapons tech.