Josh, that's a piss weak clean, i can still see the oil on top of the case where it joins the tailshaft- in fact it doesn't look like you've cleaned it at all??
i think there's no precut seals for the transfer case but only something you put on then let dry..
That's Manual Transmission liquid gasket, part number MD997740i think they use some sort of silicon gasket.. at the moment i just can't think of the name.. also looking at the picture.. it shows that there are some overfill on it.. looking at the white colored stuff..
That's Manual Transmission liquid gasket, part number MD997740