True love is to love as God loves. And God loves that which is broken. It is only when we realize that we are broken that God can really help us. That is why Christ came down so hard on the Pharisees and the "righteous" people during His time walking the earth. They didn't realize they were broken, so He couldn't help them.
We must then love each other because we are broken. Of course, the first reason we should do this is because if we didn't, who would we have left to love? But also we must realize that brokeness has a beauty all its own. I have noticed that the prettiest of womens' faces are not the ones that are completely perfect, but rather the ones that have that slight blemish or blemishes that highlight even more the beauty inherent in the feminine visage. That is how we must see each other's inner selves as well; we must see that our vices also contribute to our virtues, especially when we struggle against them.
Therefore, we must love the Church because it, in part, is broken. Covering up her blemishes will not make her any more loveable. But she is the only mother we have, and we have to love her as she is. This is mainly because the Church, as the Body of Christ, is a reflection of ourselves, and the only way that any of our problems are going to get resolved is if we love each other as God has loved us.
That's it. You can now get on with your day.