Question

If friction does depend on the surface area of contact, what if both the surfaces have similar atomic irregularities. Would it change

Answer 1

Of course it would. Friction depends on contact area, and when we say surface, we do include atomic and molecular irregularities.

But what is the probability that 2 surfaces will have same atomic irregularities? It is zero. No 2 surfaces will be identical. This is because, if 2 surfaces are identical, they will have same surface properties, including surface energies. In atomic level, such 2 surfaces will resonate and transfer energies, and finally, surfaces will change until both are no longer identical-these are quantum concepts, that simply means that no 2 things will be same. If you prove 2 things have same property, then both are same thing. This is a part of theroy of relativity by Einstein.

So, practically, no 2 surfaces will have same atomic irregularities.
But, theoretically, if 2 surfaces have same atomic irregularities, then they will have zero friction between them, as all surface will perfectly allign.