My argument is that they do emerge, though not spontaneously. They are the emergent result of the neural abstraction hierarchy that the brain forms based on the sensory input it receives, and its own sense of that sensation. The "feel" of something is therefore a meta-sensation, a sense of what a sense is like, in comparison with another, within a neural abstraction that models the brain itself.
Like you said, colors, tastes, sounds, etc. aren't "real". They themselves are emergent phenomenon. A colour is arrangement of electromagnetic radiation, a sound is an arrangement of air molecules. And radiation and matter are themselves the emergent result of the interaction of even simpler forces. Often, the nature of the emergent phenomenon seems inexplicably complex in comparison with the basic interactions that give rise to it.
If you examine intelligent life, you can see that it sits at the top of a pyramid of emergent complexity, reaching down through biology, chemistry and physics into quantum physics. It would be very strange indeed if, at the very top of this pyramid, there was another complex phenomenon that somehow did not arise from the interaction of simpler parts beneath it.