I have Asperger's Syndrome. This rests on something hazily known as the autism spectrum. It sits alongside other disorders such as Autism and Rett syndrome. There are millions of people with such disorders. Although we all have what you might describe as "autistic characteristics", our actual problems are different, and fall into various categories that have been established to aid understanding, coping, and treatment.
Your argument that there are no Democrats or Republicans amounts to an argument that there is no Asperger's syndrome, or Rett syndrome, it's all just Autism. Anyone actually on this spectrum, or that spends even the slightest bit of time studying it, would tell you you're either ignorant or insane.
Electromagnetic energy is also on a spectrum. In some places we call it "visible light". In some places it's infrared, ultraviolet, radio, or microwave. Are they all energy? Yes, but that's irrelevant.
Democrat, Republican, Libertarian, Green, they are all a grouping of policies and beliefs that are assigned labels. There is no more "no democrat" or "no republican" than there is "no visible light".