Authorizing an attack on foriegn soil at a level below at least the Secretary of Defense is grounds to get yourself thrown in military prison for the rest of your life. (Hell, technically speaking getting shot is on the table, though I doubt it'd actually happen.) Nobody lower in the command structure then at least a three-star could even hope to make it stick.
I am unprepared to judge this action entirely unwarranted. Syria hasn't exactly cooperated, and if the operation was successful the grim truth is it probably saved quite a few Iraqi civilians.
...there's also the minor matter that the Syrian record on dealing with civilians is not too good, and if they had been cooperative, the bodycount probably would have been noticibly higher.