Personally, I wouldn't bother. That's probably the most sensible approach you can take. There is no chance within your lifetime or even the next 2 or 3 generations that the USA will divide itself up for the sake of "fairness in sport", or that neighbouring countries will join together for the same reason. International sport works with what it has - the current set of nations and territories. The unfairness/differences within and between those nations and territories in terms of population, wealth, social and cultural issues are not going to be solved through sport. Even if you evened things out a bit, sooner or later, one country would become rich and another poor through good/poor government, lack/mismanagement of resources, etc.
And contrary to what you said above, it IS natural. Everything humans do is natural, as we are natural beings.
Also, while it is true that lions are naturally strong and antelopes less so, this is only due to evolution in their roles. Lions weren't always big and strong. Antelopes didn't always have to run from them. There is no "fairness" aspect here - it is what it is. One evolved to prey on grass, the other to prey on moving meat. The differences in their abilities came about due to their differing needs and taking advantage of certain conditions.
As with countries, different needs and taking advantage of certain conditions over time created the array of differing countries we see today. It's all natural.