I am still wary of making comparisons like that
The economics seem different (different exports, different businesses), and the state of economic and social development is a bit different too (Brazil pulled itself up by its bootstaps within my lifetime, it is still not as first worldy as the US though).
https://www.cia.gov/library/publications/the-world-factbook/geos/us.html https://www.cia.gov/library/publications/the-world-factbook/geos/br.html
The approach to nationalised businesses seems different (I bring it up a fair bit as it seems insane to me but the US government can't provide a simple online service for the taxed to file taxes as it competes with private enterprise, compare that to the state run oil company)
There is something to be said for the social issues vis a vis natives, black people and whatever else but again I would struggle to make a direct comparison and would have to go far more in depth.
The position in the world seems different (the US is a major active military power, Brazil certainly has a military of note but beyond UN operations is there much on the world scale?)
You mentioned leftist policies in an earlier post. Beyond Americans tending to define such things a bit differently (see some of the healthcare debate rhetoric and how socialism is viewed) they are as a general concept still suffering the hangover of the cold war stuff and will oppose quite a lot there.
There are many things to be learned from each and comparing them is something you could happily do, doing it directly without serious consideration on how you set about it though is not something I can get behind. Equally in about 20 or 30 years I would not be too surprised to be able to do a France-Germany, Denmark-Sweden, South Korea-Japan.... style direct comparison. That said you might be able to break down the US a bit further and compare a group of states to Brazil.