Barak ain't Baghdadi. Trump ( as usual) has the somewhat correct idea, but use the wrong words.
So lets jump on the words,
and forget the fact Obama enabled ISIS to take over large swatches of Iraq by doing nothing as they swarmed across the desert.
It's easier that way. Nobody gets blamed..it just sort of happened...
There is a history....
Historical names
The group has had various names since it was founded in 1999 by Jordanian radical Abu Musab al-Zarqawi under the name Jamāʻat al-Tawḥīd wa-al-Jihād (lit. "The Organisation of Monotheism and Jihad"). When in October 2004 al-Zarqawi swore loyalty to Osama bin Laden, he renamed the group Tanẓīm Qāʻidat al-Jihād fī Bilād al-Rāfidayn (lit. "The Organisation of Jihad's Base in Mesopotamia"), commonly known as al-Qaeda in Iraq or AQI. Although the group never called itself al-Qaeda in Iraq, this remained its informal name for many years.
In January 2006, AQI merged with several other Sunni insurgent groups to form the Mujahideen Shura Council (MSC). After al-Zarqawi was killed in June 2006, the MSC merged in October 2006 with several more insurgent factions to form a new group, ad-Dawlah al-ʻIraq al-Islāmiyah, which translates as the Islamic State of Iraq (ISI). The ISI was led by Abu Omar al-Baghdadi and Abu Ayyub al-Masri, who were killed in a US–Iraqi operation in April 2010, after which Abu Bakr al-Baghdadi became the group's new leader.
Current name
Main article: Names of the Islamic State of Iraq and the Levant
In April 2013, having expanded into Syria, the group adopted the name ad-Dawlah al-Islāmiyah fī 'l-ʿIrāq wa-sh-Shām. As al-Shām is a region often compared with the Levant or Greater Syria, the group's name has been variously translated as "Islamic State of Iraq and al-Sham",[64] "Islamic State of Iraq and Syria" (both abbreviated as ISIS), or "Islamic State of Iraq and the Levant" (abbreviated as ISIL).
While the use of either one or the other acronym has been the subject of debate, the distinction between the two and its relevance has been considered not so great.[32] Of greater relevance is Daesh, an acronym of ISIL's Arabic name al-Dawlah al-Islamīyah fī al-ʻIrāq wa-al-Shām. Daesh, or Da'ish , has been widely used by ISIL's Arabic-speaking detractors,[clarification needed although – and to a certain extent because – it is considered derogatory, as it resembles the Arabic words Daes (lit. "one who crushes, or tramples down, something underfoot") and Dāhis (loosely translated: "one who sows discord"). Within areas under its control, ISIL considers use of the acronym Daesh punishable by flogging[70] or cutting out the tongue.
In May 2014, the United States Department of State announced its decision to use "Islamic State of Iraq and the Levant" (ISIL) as the group's primary name. It kept to this decision when in late June 2014 the group renamed itself ad-Dawlah al-Islāmiyah (lit. Islamic State or IS), thereby declaring itself a worldwide caliphate.[39] The name "Islamic State" and the group's claim to be a caliphate have been widely rejected, with the UN, various governments, and mainstream Muslim groups refusing to use the new name.
https://en.wikipedia.org/wiki/Islamic_State_of_Iraq_and_the_Levant