Our Founders abhorred the idea of political parties (factions was their name for them) and considered them one of the gravest dangers to the Republic. They also realized from close reading of the classics of Greece and Rome that democracy was not reliable and chose a representative republic.
There is nothing in the Constitution which supports political parties or gives them any preferential standing in the political process.
The Founders’ intentions wrt factions and democracy only lasted through the first Washington administration then Hamilton’s successful financial program drove Madison and Jefferson into setting up the forerunner of the Democrat party, the Democrat-Republican. It was established to thwart Hamilton and its adherents eventually drove him from politics and killed him.