I think it's just unrealistic to think you can do away with parties. Every country in the world with democracy (and many without) has seen the development of a party system. It seems to be an unavoidable feature of politics (and maybe some of the problems with the US system stem from the founders misguided idea that you could avoid having such things). The rest of what you say makes sense, though.
Humanity suffers from an unavoidable problem I call dealt with in all real religions, the problem rooted in the invention of language and the ability to communicate via associations of words used to describe reality. The problem is that the words we use and the associations we make with them can have no actual reality but they can be used to hurt.
Thought is only possible in words and words divide. This is one thing and that is its opposite, words like good and evil that have no actual existence but can be used to create fear.
As a social animal that evolved from Darwinian survival of the fittest we undergo desirable stages of evolution, a need to ascend from self preservation to preservation of the group, to become socially responsible and we have fallen into a tragic mistake in our efforts to accomplish that. We turned more developed socialization into the good and its opposite into evil thereby dooming our children to a potential for self hate in the form of rejecting the selfish self as evil. In this way we repress what is called evil within us crystalizing it into existence instead of accepting it as a part of the self we have an ability to transcend.
In this way duality leads to a divided self, the one we are and the one we fancy ourselves to be in order to survive the potential of being rejected as children.
It is this duality, the belief in good and evil that makes political parties possible as just one small side effect. One party is good and the other is evil, or maybe I am good and everybody in a party is evil, the party of those who claim no party. All of this is based on a fear of seeing oneself as we were seen as children when we expressed our natural selfishness and told it was evil instead of a stage of development.
Among our forefathers in America there were those who understood, who had been exposed to the Masonry and the transmogrification of the soul via alchemy, all just derivitives of those who had collapsed duality and arrived at a vision of the unity behind all things.
There is a way to end party partisanship but it required the ending of fear which requires the death of the ego, the ending of the inner division caused by self hate. It requires loving God so much that one's own love rises to match His or the total surrender to the hopelessness created by the inability of the ego to kill itself.
To love is to forgive the fact we have been deeply wounded for that is what love is, or to die to all hope of exit from dualities prison. Down that path there is the the Grace that can come with the abandoment of the need for denial.
The sleeper must awaken. In one hand the wrath of God, in the other Infinite Love, one and the same thing.
To escape party requires the resolution of opposites at a hiden level of understanding. Perhaps it is even the Washington DC was built in the form of an Eneagram. I am pushing nothing here but the notion that perhaps what I speak of isn't new with me but some we knew before we invented time, something as close to you as your own heart.