While i agree with what you said there is another problem.
Most famous right-wing people and fascist at that time were Turanists or Pan-Turkists who mostly didnt care about reviving the dead Ottoman Empire.
And calling Turk-Islamists fascist is maybe a bit too much in regards to Nationalists who wanted to unite all Turkics.
You'll also have to take into consideration what Paradox thought would be more interesting to the player. While I'm sure there are players who would want to go Turan and unite the turkic peoples, there are probably more players who would be interested in restoring the Ottoman Empire to its former glory.
It's unfortunate that all parties with (somehwat) similar ideologies are lumped together, but as has previously been said it can probably be fixed with mods and might even see fixing in future expansions.
EDIT: Unless it wasn't clear: I absolutely agree that it would be optimal to have more than just three (four if you count neutral) parties, but in its current form I think that the Ottoman route was better than the Turan for turkish fascism.