Are you referring to what Bush said in his victory speech? If so, I think you should remember that he did not state that he would bring together the Kerry voters and Bush voters. He did say he is also the President of those who voted for his opponent, he will keep that in mind, and he will try to earn the trust of those who voted against him. That is not the same as saying he plans to unify the two groups of voters.
I think your interpretation of it might be inferred from what he said, but I don't infer it from what he said.
As to how he will earn the trust of the Kerry voters, I think all he was saying there is that he will try to be the best possible President he can be, in winning the War on Terror, improving Homeland Security, strengthening the economy and jobs, improving education, helping faith-based benevolent groups do their works etc., and the results will be a better, safer and stronger America.
Which he HOPES will be noticed even by those who didn't vote for him.
War presidents will be judged by how goes the war. I wonder how Roosevelt would have fared in 1942, if the dems had launched an attack on his conduct of the war.
Why did we go to war against Germany? They didn't attack us. What's more, they had genuine greviences against France and Britain after WWI.