It is likely to confuse us if we look at it that way. To say that the legislative branch, the judicial branch, and the administrative branch of the United States government are "co-equal" is unavailing.
The graphic shows that there is really nothing similar among them, and the glaring reality is how different they are. The only true statement is that they are equally subordinate to the US Constitution, which is the supreme law of our land.
It is clear that they have unequal characteristics, in that only one legislates (congress), only one adjudicates (courts), and only one administers (president).
They are comparable in the sense that each is sovereign in its own constitutionally specified power zone, but the others are to stay out of that area.
The the separation of powers doctrine is fundamental in our system of government.
A recent article on this blog shows how the "co-equal" misnomer was perverted even further. Bush II administration officials seized power that is not theirs under our constitution, thereby doing great damage to governmental balance.
That ideological coup led us down many a dark path and now we suffer and argue about how to fix it.
In a "CYA" attempt to cover their tracks, they wrote memos recently, saying they really did not follow those "doubtful ... propositions". Yeah right.
Clearly they tried to revise constitutional law (pervert it) even after leaving office (Rove still refuses to honor congressional subpoenas). Now they are trying to write revisionist history (pervert history).
An article on this blog a while back discusses how the nature of deceit has crept into our national persona.
UPDATE: Gallup is a conservative poll, yet when asked if an immediate criminal prosecution should take place, or investigations should take place, Gallup indicated:
While no more than 41% of Americans favor a criminal investigation into any of the matters, at least 6 in 10 say there should be either a criminal investigation or an independent probe into all three. This includes 62% who favor some type of investigation into the possible use of torture when interrogating terrorism suspects, 63% who do so with respect to the possible use of telephone wiretaps without obtaining a warrant, and 71% who support investigating possible attempts to use the Justice Department for political purposes.(Gallup). I think that is a mandate. Especially since people are really, really focused on the economy. Contrary to Gallup it is clear that the people want something done about bad policies and lies that brought on the economic collapse, wars, torture, and illegal spying.