I would push back on this framing. Individuality obviously exists, and we were created in God's image, etc., but there isn't a way to avoid politics forming people into groups of some kind. Let me try to explain.
If we don't band together to help one another, we're stuck playing by the rigged existing rules of the game. Organizing (either in the traditional labor sense, or via super PACs and racism) allows us to change the rules in our own favor, because we can wield more power.
With that laid out, what kind of group should we organize? The bigger the group, the more power it has. But also: the more coherent and lockstep the group is in its actions, the more power it has, at any size. So the goal of all politics is to form the biggest coalition you can that still holds together.
Many socialists think, as a strategic question (not one of ideology), that the goal should be to organize the whole working class (everyone who must sell their labor in order to survive). This is the biggest group you can possibly have that still shares a common interest. The problem is obviously that this is an unwieldy group and it's really really hard to do, particularly in the face of almost infinite money trying to stop us. There are various thoughts on how to address this problem, the classic one being to organize whole shops or industries at once, and slowly building momentum that was, but fundamentally it is about putting together the biggest possible political grouping that coheres.
Right wingers have a different strategy, which is to use identity politics (racism, xenophobia, sectarianism, sectionalism, etc.) to organize a smaller coalition but in a very tight, coordinated way. The play is that a relatively small group of committed actors can use things like propaganda, violence, and dirty tricks to seize or maintain power.
Fundamentally the left and the right are trying to do the same thing, which is to put together a coalition that let's them change the status quo. If we protect our individuality too much, we get rolled by the other side. Establishment oriented people tend to miss this.