I've thought about this myself, and have no real solution for the situation...
The problem is the same as the problem in the low countries, there just isn't enough damn provinces! The only way you can really demonstrate the situation is cut a piece off Sivas and make a new province, which Dulkadir would inhabit, and make Ramazan in Cilicia.
You can have both in there if you give all of Sivas to Dulkadir, but I find this causes truly strange situations, such as Trebizond and Dulkadir warring against each other, when historically they were nowhere near each other.
My own personal solution has been to lump Dulkadir and Ramazan together inside Cilicia, since this puts them nicely between the Mamelukes and Ottomans as a buffer state and doesn't put them right in the heart of things like putting Dulkadir in Sivas is.
I don't really like this solution but...
Another solution I've been thinking about lately is making Karaman a one-province minor in their northern province with the city name being Larende, changing the city name in Taurus to Karaman, making Ramazan in Taurus, and leaving cilicia for Dulkadir.
Sure it's totally screwed up, but no more than anything else in the game, and besides, the Ottomans are supposed to be able to take out Karaman in a single blow. The only problem with this solution is Ramazan is supposed to border the Mamelukes, which they wouldn't now, and Ramazan is supposed to be the one with a port, not Dulkadir. So either way the situation is totally screwed up, but it's all about which aspect of screwed-uppedness is more important for you to fix...