i think people are getting over intermolecular forces and intramolecular forces here.
it's true that nonpolar - nonpolar intermolecular interactions are the weakest, and ionic interation are the strongest, i think it is opposite for intramolecular forces.
ionic bonds are between an atom with high electronegativity and another with low electronegativity, and bond formation involves the formation of tightly atrracted ions. whereas nonpolar covalent bonding involves sharing of electrons and is weaker.
but one that bugs me is that if ionic bonds are stronger, then why are diamonds , and not rock salt the strongest solids?