TYT isn't without its faults - Cenk's spat with Sam Harris was embarrassing and i think it was the main reason behind a few departures at the channel - but the OP just seems a bit off the mark, not least in misunderstanding where the name 'The Young Turks' actually comes from and what it means.
Also, Ana Kasparian is Armenian, so I can't imagine she'd pitch for a channel that was a mouthpiece for the glorification of Turkish/Ottoman history. In fact, I think I recall her and Cenk having a heated discussion about the genocide. Say what you want about the views, but there aren't many other channels in the U.S. that allow and facilitate diverse opinions.