The point is, people often spread around this idea that objects never actually touch, when it isn't really true. Touching is only electrostatic repulsion anyway.

Electron clouds are arbitrary; they are volumes in which an electron has a certain probability of being found. Any electron clouds can touch if you allow the probability to be high enough (electrons can potentially be found infinitely far away from a nucleus).

About nuclei touching; actually it's kind of arbitrary on the subatomic level too. Nucleons aren't spheres at all, they are just sets of three coordinates (quarks). They are arbitrarily assigned a radius at which the strong and electrostatic forces cancel, but it doesn't really represent a physical boundary.