Should the US Have Dropped the Atomic Bombs?

Though killing innocent civilians is morally unjust, I believe that in World War II, dropping the bomb was necessary for many reasons. First off, an invasion of Japan would have cost more lives than the total people killed by the two bombs (an estimated 250,000 Americans would have died in an invasion; 220,000 total died in the bombings). In terms of number of lives taken, the bombs did less. Secondly, by creating a more lenient peace treatment, if would have should weakness. This weakness would only encourage other dictators that we were not strong and this would of most likely result in another war. Next, I believe that personally, if Japan had two bombs, they would have done the same thing to us. Also, dropping on the bomb on a non-civilian area would just have been a wasted effort. The Japanese were not willing to surrender. Lastly, the bombs were a statement. In a bombing of Tokyo, 80,000 died but nothing happened. When Nagasaki was bombed with the atomic bomb, likewise 80,000 died, but the result of that was the Japanese surrendering. The bomb also showed that we, as a nation, have that kind of technology and that we are a powerful force.