Jesus Christ is indeed a crutch for the lame, to help us walk upright, just as he is also medicine for the spiritually sick, bread for the hungry and water for the thirsty. We do not deny this; it is perfectly true. But then all human beings are lame, sick, hungry and thirsty. The only difference between us is not that some are needy, while others are not. It is rather that some know and acknowledge their need, while others either don't through ignorance or won't through pride.
Jesus calls us to his rest, and meekness is His method. The meek man cares not at all who is greater than he, for he has long ago decided that the esteem of the world is not worth the effort.