You are actually comparing earthy strength to Godly strength. Those that are strong on earth are weak in God but those that are meek on earth are strong in God. The more we squash the small "i am" the more we let the real "I AM" through. The first is pure ego, with pride and self promotion a person that believes he is better than others so he can use and abuse others to his own benefit. We see this type of "strength" in the terrible atrocities in wars to on far less levels jealousy or envy that harms relationships and friendships. This type of strength "power of the fittest" eventually leads to ruin of some kind.

But now those willing to be meek and let God be in control, they have far more strength than any that thinks he can do it on his own. Those are the ones that save many lives, they get things done to improve peoples condition. Those are the ones that go into a burning building and pull out everyone and people say "how did you do it, why did you do it?", they respond "I just did what I knew I had to I didn't even think of my own safety I just knew I had to save those people." This strength unites it brings peace and love it forgives and heals this is why the meek inherit the earth because everyone says "that is a good guy if anyone deserves, it is him." These are people of compassion, caring and concern, they do get angry but put their anger to constructive problem solving. Like the man that gets angry seeing people staving on the streets and says "why doesn't someone do something for these people!", so he builds a soup kitchen for them. This is a man humbling himself to the needs of people he may consider below him as instead he sees the good in all people and equal value, some just have and some haven't but we all are still brothers and sisters on this planet. The thing is the meek will do this and not seek recognition for doing it, he does not do it to be famous but he does it because he lets God through.