While Conway misspoke as to the "massacre", her point as to former President Obama's immigration "ban" is accurate, and so of course ignored. President Obama did indeed for a six month period ban refugees from Iraq. But only after documented evidence as to there being terrorists already admitted. It would be more accurately described President Trumps ban pro-active, rather than reactive as President Obama's.
"According to an ABC News article from 2013, the Obama administration did indeed cease processing Iraqi refugees from entering the U.S. in 2011 for a six-month period, even people who had previously helped U.S. forces in Iraq. One person who applied for refugee status was killed while waiting to be processed. This happened after two Iraqi refugees in Kentucky were found to be al Qaeda terrorists and had allegedly killed U.S. soldiers while in Iraq. According to the report: “Several dozen suspected terrorist bombmakers, including some believed to have targeted American troops, may have mistakenly been allowed to move to the United States as war refugees.”
"This prompted the U.S. to improve their refugee screening process and make it much tougher."
I agree with your point about Obama, but saying Conway "misspoke" is generous. She either bullshitted us (made it up on the spot to cover her ass) or she (and others in the administration?) willfully lied to us. And either one of those is rather disturbing...