McConnell criticized Reid for pushing the Defense authorization bill without amendments.
Two senior commanders with the American-backed Free Syrian Army were kidnapped and executed by al Qaeda fighters, highlighting the increasingly violent schism between the country's secular opposition and the Islamic radical groups fighting alongside them.
They are trying to defuse anger over the move to rush through the $607 billion Defense bill.
Kerry looks like he would win his fight for no new sanctions, at least for now.
The attack was the first American drone strike against members of the Yemeni faction since a deadly suicide bombing in the country's capitol of Sanaa Thursday.
Al Qaeda leaders claimed responsibility for the attack, which targeted Yemen's Defense Ministry.
The Afghan-Iran deal represents a "long-term friendship and cooperation pact" with Iran that "will be for long-term political, security, economic and cultural cooperation, regional peace," Karzai's spokesman Aimal Faizi.
The pact comes as the Karzai administration continues to stonewall White House and Pentagon efforts to lock in a postwar deal with Afghanistan.
The casualties were the first suffered by French troops since Paris deployed those forces onto the continent last week.
There are more than 1,000 French troops on the ground, as part of a joint French-African Union-led peacekeeping force.
Tuesday's casualties came a day after the Pentagon announced plans to provide military support to that joint force.
Panels move to rush through a $607 billion Pentagon spending bill without amendments.
The race is on to finish the Defense authorization bill.