I think that only people create difficulties for themselves in order to overcome them later. Nature is perfect in its simplicity. Today we do not have a sense of nature. Matter does not exist for us - we solve equations only.
Protons do not push each other out of the nuclei of atoms. The charge has no central symmetry. A charge is a thin ray of gravitons (quanta of an electromagnetic field) rotating at the speed of light. It is directed from the core outward, as shown in the diagram. Figure taken from the book "Electromagnetic Gravity. Part 2" in my profile.
Modern physics claims the innate property of the masses to attract each other (through the exchange of particles). This is medieval mysticism. To repel each other (due to thermal motion) is an innate property of the masses. The pressure of the external environment of the electromagnetic field holds the protons in the nucleus (it pushes them towards each other). Gravity is the action of repulsive forces, not attraction.