you did say this: That can't be said of messers Iran, Syria, or Saddam Iraq.
Which is not true. It implies that those nations supported al-Qaeda and militant Islam when in fact they were targets as well, with the exception of Iran who's quite different from the other two in nature and has no reason to support al-Qaeda.
No, it implies that they support militant Islam and most, if not all, of its offshoots, incl AlQeada, Hamas, Hesbollah, etc. Not that they had to deal with their own occasional domestic issues & incursions by their version of "terroists", which your article doesn't appear to refute
Hamas and Hezbollah are political militant groups primarily confined to Israel and Lebanon. Moreover, Hezbollah is predominantly Shi'ite and represents the poor and oppressed Shia of Southern Lebanon. While they support an Iranian style Shia Theocratic Republic, they do not wish to impose one on Lebanon but instead call for an election once all colonial powers are removed from the country and once the Phalange have been tried and punished for the massacres committed against both Muslims and Christians.
It should be noted that Hezbollah is not universally seen as a terrorist organization in the international community. Yes, Iran supports Hezbollah as it supports many Shia movements in the world. Hezbollah directly believes in the principles of the Iranian revolution and theological principles of the Iranian clerics as well.
Now where and when have Syria, Iran, and Hussein's Iraq supported al-Qaeda?
By the way, saying that the Muslim Brotherhood was a "domestic issue" is interesting. I would suggest reading something on Sayyid Qutb, the founder of Qutbism. He advocated violence to bring about the proper Islamic states free of apostates and infidels. He was a major influence on people like Osama bin Laden (remember him?) and other notable Islamic militants. He was also a leading intellectual in the Muslim Brotherhood which still has political and terrorist ties in nearly all Middle Eastern nations today. It is also a major component of al-Qaeda.
It is a capital offense to be a member of the Muslim Brotherhood in Syria. Hamas was founded by a member of the Muslim Brotherhood and is considered a wing of that organization. The Islamic Action Front, a Brotherhood political party, has the most seats in Jordan's Parliament. Iran has no Brotherhood groups of any prominence due to the Sunni nature of the group. The Brotherhood is the major political group for the Sunni in Iraq after the fall of Hussein in 2003 and they are the primary non-secular party for the Kurds (KIU). The Brotherhood has the largest political party in Bahrain (Al-Menbar). They are prominent in Saudi Arabia and Kuwait. In Kuwait they have fought hard to prevent women from voting amongst other societal reforms. They have huge followings in Turkey and Egypt where they fill many prisons.
The Muslim Brotherhood also operates in Algeria, Sudan, Tunisia, Somalia, Libya, and the Maldives.
They are probably most famous for their possible role in the attempted murder of Gamel Abdul Nasser and Syrian President Assad.