Most people that are labeled as 'skeptics' are 'believers' in that they believe in climate change. Even a hardcore contrarian like Christopher Monckton believes that equilibrium climate sensitivity is 0.5 C (i.e. he attributes some warming to greenhouse gases). And even if I take a denier who doesn't believe that greenhouse gas emissions affect global temperature, like Ezra Levant, he still categorizes as a 'climate change believer' because he believes that climate changes due to natural factors. Very few people would be classified as a non-climate change believer. Maybe some young earth creationists that don't believe in ice-ages and think that God controls climate can be categorized as a non-climate change believer.
On the other hand, 'climate change skeptic' can include a very large section of the population as well. Most people are skeptical to some extent, and one could believe in all the tenants of climate change alarmism while being skeptical. As an analogy, I believe that the speed of light is constant in all inertial reference frames, as hypothesized by Einstein back in 1905. Yet I'm skeptical of it and am open to it being wrong if new evidence comes along that points to the contrary (which did occur a few years ago at the Large Hadron Collider, but that turned out to not be a violation of relativity).
So in short, the categories 'climate change skeptics' and 'climate change believers' are so vague and inclusive that they aren't very useful.