March on Washington. Picket the manufacturers. Organise a boycott of related companies. Chain yourself to the gates of drone control bases. Something, anything.
There is no mass movement against drones. Look at protests against nuclear weapons during the cold war. Large, well-organised groups led a groundswell of opposition. The Greenham Common peace camp was continually occupied for eighteen years until the nuclear weapons based there were removed; The Faslane peace camp is still occupied today. In 1982, a million people gathered in New York to oppose nuclear weapons.
You care, as do millions of Americans, but only to the extent that you don't actually have to do anything.
I care. As do tens to hundreds of millions of other US citizens. Tell me, what we were supposed to do about it again (that we didn't do)?