No, the United States should not implement a carbon cap and trade system, because it would be very costly to produce energy. The United States is very energy dependent, and raising the costs of producing energy would raise prices for consumers, and throw the country into yet another recession that it cannot afford.
Citizens dislike pollution and therefore will take steps to reduce carbon emissions on their own. Where consumers demand it, cars will become more efficient, factories will produce less waste, and they will change their habits to help the environment. To create carbon cap and trade would be to force people into change they may not agree with. This should be left to the consumer.