The welfare of each of us is dependent fundamentally upon the welfare of all of us, and therefore in public life that man is the best representative of each of us who seeks to do good to each by doing good to all; in other words, whose endeavor it is not to represent any special class and promote merely that class's selfish interests, but to represent all true and honest men of all sections and all classes and to work for their interests by working for our common country.
Roosevelt goes on to warn against thinking of people by what group they are a part of, which is exactly the way Democrats look at people: A healthy republican government must rest upon individuals, not upon classes or sections. As soon as it becomes government by a class or by a section, it departs from the old American ideal.
TR then talks about how favoring one class over another has been the doom of past republics: The outcome was equally fatal, whether the country fell into the hands of a wealthy oligarchy which exploited the poor or whether it fell under the domination of a turbulent mob which plundered the rich.
There were a couple of other quotes that Obama, whom I am sure has not read the entire speech, should note: There is no worse enemy of the wage-worker than the man who condones mob violence in any shape or who preaches class hatred There is no room in our healthy American life for the mere idler, for the man or the woman whose object it is throughout life to shirk the duties which life ought to bring. Of course, that last one pretty much defines the core Democrat constituency.
Finally, Teddy ends with this: Finally, we must keep ever in mind that a republic such as ours can exist only by virtue of the orderly liberty which comes through the equal domination of the law over all men alike, and through its administration in such resolute and fearless fashion as shall teach all that no man is above it and no man below it.
Thanks!