I am not sure whether the Inca are locks... remember, that part of the world already has the Mapuche... I feel more confident about the Maya than I do the Inca, tbh (The presence of the Aztecs has never stopped Firaxis from adding the Maya before)
Ottomans aren't certain either, because there are other Turkish options: The Seljuks are a viable option for a Transoxian Civ (the only other option for that region that I can think of are the rather gimmicky Timurids or the immensely unlikely Khwarazmian empire) and Turkey under Kemal Atatürk would be a very inspired choice as well