call them
When I called them they said they can only search/book Turkish Airline tickets over the phone, not any Star Alliance Partners. This seems to go against what everyone is saying on here.
Ideally I'm looking for a United (direct if possible) flight for the 32k pricing to/from EWR/TLV... their website turns up nothing for every date I enter, even entering dates in practically every month of this year.
It was also very difficult to understand her with the accent. Did I just get a bad rep and I should just try calling back? Or am I just in dream land and I'll never land those tickets for August now and needed to do it months ago.