Here’s a little tidbit about “moderate” Qatar:
On February 24, 2010, Qatar and Iran signed a defense co-operation agreement in which the two countries stressed the need to expand their defense cooperation.[15]
Iran and Qatar will
exchange specialized and technical committees
expand cooperation in training
conduct joint campaigns against terrorism and insecurity in the region
March 10, 2010. Qatari Prime Minister Sheikh Hamad bin Jassim bin Jaber Al Thani has given his support to Iran’s right to nuclear technology, and considers Iran’s nuclear project to be for peaceful nuclear energy purposes.[16]
Another tidbit you need to add-
Centcom has it’s forward operations headquarters in Qatar. So the US has its base in a country which doesn’t mind cosying up to Iran and has hosted Hamas leaders.
http://www.centcom.mil/en/press-releases/centcom-exercises-new-forward-headquarters-in-qatar.html