Contrasting What was the belief of those who opposed the formation of political parties? What was the belief of those who
supported them

Individuals who opposed political parties saw them as dangerous tools which will lead to the downfall of our Government and disintegration of our union. This most notably can be seen in the birth years of the United States of America, the Founding Fathers warned strongly against factions and party spirit. They feared most greatly that these would cause partisanship, which is were a party will place their interests above the nations.

This can very easily be observed in the U.S.A, it is sadly a two party system (yes their are more but Republics and Democrats dominate the landscape), these two parties control who gets into the Presidential debates (have you ever seen a independent or green party win a state?). They do this by controlling how outspoken individuals in their party are and run campaigns against candidates they do not improve of, as can be seen by the DNC harsh treatment of Bernie Sanders, while backing Biden.

Some see these parties as being here for the interest of their political bodies and not the Nation as a whole.

On the otherhand, you have those who wished for strong politcal parties.

Such can be observed by the Federalists, who were led by Alexander Hamilton.

The Federalists wanted a strong central government and believed that liked minded individuals would foster progress and would lead to unification.

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use wikipedia, i think they have this.