When I lived in Oregon years ago, I found out quickly that there was a driving rule that I was used to that was very different there. In other states, the policy was that you could make a "u-turn" as long as there were no signs prohibiting it. In Oregon (at least back then) the rule was you could only make a "u-turn" if there was a sign that said it was OK. Quite the opposite, and that made it very hard to get used to. Residence in a new state means a new way of doing things, and we were required to get used to it whether we liked it or not.
This is something of what is happening in the conversion process. When someone hears the truths of the Kingdom of Christ and His redeeming work for Kingdom citizens (the baptized) they need to understand that this means that they are under an entirely different set of rules. Things do not work in God's Kingdom the way that they work in the rest of the world. The obvious reason is because the world is fallen and its culture is, at best, flawed, and, at worst, corrupt. God's Kingdom is, on the other hand, perfect; no, not all the citizens of it behave perfectly, but that is always contrary to the Kingdom itself.
It is absolutely essential for someone hearing the gospel to understand that Christ is not just a "best buddy" for us; He is not just a cosmic "bodyguard"; He is the King of kings. If we portray Jesus along the same lines as we hear people speak about their favorite politician ("he's really a great guy, and you ought to get behind him"), then we have entirely missed the point of Who Christ is. It is true that Christ came as our Savior, but if we forget the fact that He has already been given "all authority in Heaven and on Earth" then we do not have a full understanding of Christ.
This is why the Kingdom and authority of God should be a part of what we are speaking about in evangelism. Jesus is not merely some mercenary who is rescuing people in a last ditch effort before the whole world goes to Hell (though many evangelistic messages seem to come across that way). I can think of many times when I heard my protestant brothers and sisters speak so emphatically about "accepting Jesus as your-personal-Lord-and-Savior" because they were concerned that a convert have a personal relationship with Christ. Yes, it is true that our relationship with Jesus needs to be personal, but He is much, much, more than a "personal" Lord and Savior; He is a universal Lord and Savior, because, right now, everything has already been put in subjection to Him (regardless of the fact that many do not realize it yet and we cannot yet see it; cf. Hebrews 2:5-8).
This is why the earliest confession of the Church (which led to many of the early Christians being martyred!) was "Jesus is Lord" (Romans 10:9) and not "Jesus is Savior". In fact, it would have been easy for the early Church just to say "Jesus is Savior" and virtually no one would have had a problem with it. You see, many of the pagan Greeks and Romans would have been content to allow Jesus to join the pantheon with the other gods, but to call Him "Lord" meant that He was above all the rest. The early Church did not compromise this (the story of Polycarp's martyrdom is a wonderful testimony of this fact) and it was always part of their message to the world.
Over time, as a protestant, I came to see that there was an incredibly selfish aspect to evangelistic messages. I do not want to assume that this was intentional, but it was still there. Potential converts were encouraged to make their "decision for Christ" based largely on selfish motivations and I could see easily how it led to mistake that everything is all about us. As much as Jesus cares about us, and wants us to know His great love for us, it is not "all about us"; it is "all about Christ" and nothing else. The more a person falls into the error of thinking that it is "all about them" the less he will be willing to submit to the lordship of Christ, and that is not a formula for persevering in the faith
If, however, we are able to include in our evangelism the fact that conversion means just that--converting to a different situation in life and submitting oneself to a new set of rules with a new Ruler--then we help them to see the fullness of the Catholic faith, and the call to faithfulness and obedience that we are given when we are baptized. When we view the whole world in relation to the Kingdom of Christ and His absolute authority (as I spoke about yesterday), we understand what we is expected of us and then we can grow in our faith joyfully. As you work to draw people to conversion, make sure that you are not starting them off on the wrong foot--after all, we are supposed to be telling them the "Gospel of our Lord Jesus Christ".