Cato’s Chris Preble outlines this theme in detail for you and makes it clear how few Americans want anything to do with getting America involved in the Syrian imbroglio.
As to the substance of the legislation, one can sympathize with the premise behind it without agreeing with co-sponsor Michele Bachmann (R-MN) that the Syrian rebels are “enemies” of the United States who could “defeat us and our way of life” (though a few might aspire to such grandiose aims). On policy grounds, limited military intervention in Syria is unlikely to turn the tide in favor of our prefered group (one that is presumably secular, pro-U.S., and capable of governing Syria), which means that arming the rebels is likely to extend the conflict and drag the United States more deeply into another civil war in the region. As Rep. Mike Nolan (D-MN) noted, “This matter, however tragic and sad, will not be resolved by the US’s involvement or intervention and will only invite resentment from both sides, as has been proven time and time again. We must get over the false notion that the enemy of our enemy is our friend.”