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Since they arrived in Washington last weekend — their first time outside of Pakistan — the Rehmans have patiently sat for hours of interviews with dozens of media outlets in a dogged effort to change hearts and minds, with only a few breaks to go see the sights in the U.S. capital.
The Obama administration, for its part, until recently did not even acknowledge the existence of the program. Now, officials say drone warfare is a precise and effective means to neutralize enemies in remote regions of the world where capturing terrorists is difficult and that civilian casualties are minimal.
That rationale holds little solace for Rafiq and his family.
Opponents of the United States have pointed out, beyond the legal and moral implications, that the U.S. policy engenders hatred of America and breeds extremism.
But even after what his family has been through, Rafiq Rehman said he does not resent the United States. In fact, even after witnessing his first Halloween weekend in the States, he does not believe all that much separates him from Americans.
"It's very peaceful here. For the most part, there's a lot of freedom and people get along with each other. They're nice, they respect each other, and I appreciate that," Rafiq told Al Jazeera.
"We're all human beings," he said. "I knew that Americans would have a heart, that they would be sympathetic to me. That's why I came here — I thought if they heard my story, they would want to listen to me and influence their politicians."
Rafiq, like so many fathers, wants his children to have peaceful lives and the best education possible. He hopes Zubair grows up to be a doctor and that Nabila is a lawyer.
"(The drone attack) created a disruption in our lives," he said. "Our children live in fear. They don't want to go to school. They don't want to play outside."
Ultimately, only five members of Congress arrived at the briefing to hear their testimony Tuesday morning: Rep. Alan Grayson of Florida, who organized the briefing, along with Reps. Jan Schakowsky, D-Ill., Rush Holt, D-N.J., John Conyers, D-Mich., and Rick Nolan, D-Minn.
What compelling interest did the U.S. government have in murdering a grandmother of nine and a midwife who helped deliver babies in the village, Rehman asked them. How can he reassure his children that the drones will not come back?
"I no longer love blue skies," Zubair said. "In fact, I now prefer gray skies. The drones do not fly when the skies are gray."
Grayson said the briefing, held a full decade after the first drone strikes in Yemen by the Bush administration, was a promising start and dismissed the seemingly low attendance, noting that five members showed "a fair amount of interest." Grayson doubted, however, that a full committee hearing with members of Congress would be called anytime soon.
"The appropriate committees generally are staffed by people, if I may say this, who are friends of the military industrial complex, not even enemies, or even skeptics of it," he said.
Still, Zubair Rehman remained hopeful.
"I hope I can return home with a message," he said. "I hope I can tell my community that Americans listened."