You mean apart from the blatant sense of insecurity behind the whole palaver?
Look, you have whole set of laws and requirements about displaying your flag, singing your National Anthem (before every sporting event? Really?) and so on. The Pledge of Allegiance is just part of that. There si no equivalent of any of these things here, Only military installations are required to display the Union Flag. Schools and civic buildings are entitled to claim, free of charge, a copy of the official portrait of the monarch and display it if they wish, there is no compulsion. One can go for months without hearing the National Anthem.
Look at the facts. You started with a hodgepodge of religious fanatics, fortune-hunters, political exiles, transported criminals, indentured servants and imported slaves. A disparate bunch driven together by the ambitions of a few wealthy businessmsn ijto a Union that remains, at best, unstable. You live on stolen land and padded your insufficient numbers by throwing the country open to the wretched refuse of our teeming shores.
To this day, there are no Americans. There are Native Americans, Anglo-Americans, German-Americans, Cajuns, Creoles, Afro-Americans. American Jews, Irish-americans, Spanish-Americans etc, etc.
There is friction between many of these groups and too many of them cling to the cultures and traditions of the 'Old Country' -some with a near-fanatical fervour.
America is still divided into North and South, and the distrust between them remains deep and bitter.
You can't create a nation in 300 years, even with all the exceptionalism and the unifying symbols. Your leaders have been desperately trying, just as ours did in the 11th century. But it took Shakespeare to create the idea of England, and Dickens to create the English character. You have neither, yet.