Buddhism Contradiction?

I am discovering Buddhism for myself all over again and have some questions about it. I ask respectfully, please do not be offended, but can the Buddha's plan for the cessation of suffering be contradictory. In the Four Noble Truths, the Buddha says that suffering can be stopped by stopping desire. In order to stop desire we need to follow the Noble Eightfold Path. But, in order to do this, we must have the desire to follow the Path. So we have desire, and despite how good our intentions are, it is still desire. We must have some sort of commitment to the practice of meditation and, despite saying otherwise, we have a desire to achieve inner peace for ourselves and all of the universe. Can anyone explain?