The entirety of Blinken's current mission is to prevent the Gaza war from spilling over into other regional countries. With powerful elements within the Iraqi state in favor of Iran, alongside an expansion of attacks against US forces, Blinken is attempting to rule out the possibility of further military escalation and violence before it spirals into a disaster that would negatively impact the region's security.
It is the US that continues to manipulate and stoke tensions in the Middle East to further its geopolitical goals. Iraq is a lynchpin in resisting US-Israeli hegemony in the region, and it has laid the groundwork for a new front in the Arab and Muslim worlds, which also includes Iran's regional muscle. The US will soon realize that its presence in Iraq is untenable.