Time for examination
The two-party system is not addressed in the Constitution. It has become the de facto standard for administration in the legislative branch. It has its advantages and disadvantages. The founders of the United States of America were brilliant statesmen many of whom willing to put their lives on the line to resist what they consider to be the despotic governance of George III, the King of England. Their results were excellent and the resulting documents have served U.S. well for nearly two and a half centuries. There is room for update and/or improvement of the document(s) and this author supports such efforts when implemented in the manner specified in the Constitution. For example, individual rights verbiage needs to be improved. One could look at the Swedish Constitution to serve as a model.
Codification of the two party system is appropriate. Consider that the third person in the line of succession to the President of the United States is the Speaker of the House. The majority party selects the speaker of the house from within their ranks. A very large percentage of the Representatives, usually nearly half the country, have no say in selection of the Speaker of the House of Representatives. With that amount of power available to an individual the person third in the line of succession should be representative of the whole country as only the entire House of Representatives can provide.