How to become a better intercessor

Often when we pray for others the main thought life is seeking to find the right scripture or truth to apply to the situation. Often, this union of scriptures and circumstances are the result of our own personal experiences. What we want is to become people who can apply the heart of God to the heart of man. Avoiding our own judgments, no matter how good, is a desirable goal.
Now to this emptying ourselves so that Christ can be magnified comes the reality that most people of prayer are called to represent a certain stream of God. People are called to mainly see justice, mercy, healing or discipleship. This is not a complete list. But God in His wisdom created us to need one another and while we are to feel insecure in being “a part” we should feel insecure when we feel like we are sufficient ourselves.
This brings us to a foundational level of being in Christ that we need to develop.
Jesus said, "Are you still lacking in understanding also? "Do you not understand that everything that goes into the mouth passes into the stomach, and is eliminated? "But the things that proceed out of the mouth come from the heart, and those defile the man. "For out of the heart come evil thoughts, murders, adulteries, fornications, thefts, false witness, slanders. "These are the things which defile the man; but to eat with unwashed hands does not defile the man."
(Matthew 15:16-20) emphasis added

When we pray for people we want to see what God sees and feel what God feels so that we speak what God would speak. This means we need to be delivered from the uncleanness of our own judgments and traditions. We do not want to accuse people of anger, lust, laziness or anything out of our natural perceptions. We do not want to be an accuser of the brethren.
The first step in overcoming this inward darkness is to admit that it is there and turn away for our own strength to the Lord. By increasing our humility and dependence upon God we build on the foundation that well last. In time, as our nature is transformed, we will find the burden of turning to the Lord is a great delight for us. We will love the very thing we thought was an added discipline.
Much more needs to be said about the inner life of people of prayer, but we can go a long way on building our house of prayer on His will and not our perceptions and judgments.