There are several models of particles that work, each suited to its own application. So quantum mechanics has the concept of a point charge with the probability of it being in any particular position being related to its capability to interact at that position. Field theory has the concept of a distributed charge that has a certain energy density at a certain position leading to that certain capability to interact at that position. The views refer to the same physical reality, but each opens up different insights.

For an example of a concept that is interesting in field theory, take the example of a bounded polar electric field, and see if it might link electrostatic forces with nuclear forces.

And what of the argument that a non-quantum model of the atom is impossible because accelerating charges radiate? If accelerating charges really radiated then they would violate the conservation of energy. Check it out here.

The speed of light. OK, it is a limiting speed for light, but is it a limiting speed for everything else? It has been proved only for electromagnetic radiation. See what you think of these ideas.

Or how about inertia being at least partially electrostatic in origin? Go here for the arguments.

And another thought - is the Big Bang just another creation myth or is it based on sound arguments?