That’s dramatically oversimplifying to the point of being wrong. Hamas has agreed to a Two State solution with Israel and has done so for years. So has Qatar. I wouldn’t call Qatar openly hostile to Israel, same way the Israeli government supports people who are openly hostile to Arabs but Israel is not openly hostile to Qatar.
The Israeli government limits interviews with foreign press all the time, and bans certain Lebanese TV channels for being too supportive of or linked to Hizbullah, but they are okay with interviews with Al Jazeera.