In myself I feel that desire has outraced my faith, but still it is in God's timing. Faith comes from God, so, how do I work out what's not yet been worked in?
But God works in us both to will and to do what pleases Him. So the fact of your desire is the evidence that God IS at work in you. And in that you want God, then this is the life of the new creation living in Jesus. The flesh does not, cannot desire God, only in God's grace.
It is only in faith that we can approach God, believing that He exists, and rewards those who diligently seek Him. When we don't feel that desire, we still trust Him, that He continues to work in us completing us.
We trust in God's promise to perfect us, as we stretch ourselves towards that perfection in our lives.
We want Jesus, He is the Author and Finisher of our faith.
I suppose I can't really separate the two, faith and desire, they seem like twins to me.
Much love!