Deflection is a common response to the gospel. When a sinner preaches that all have sinned, the hard-hearted often respond by pointing out the sin in the preacher's life. But that's the point in the rest of the Gospel. No Christian will deny that they are sinners. And I can say that with certainty, if you say you are perfect, you are not a Christian (1 John 1:5-10). Am I a sinner? Yes. Do I need Jesus? Yes. Are you a sinner? Yes. Do you need Jesus? Yes. In telling you you need Jesus, I am not claiming to be perfect. I am merely pointing you to the one who can compensate for our imperfections.
Let's give an analogy. Imagine we are both in a crashing plane. Although in reality there is a minuscule chance of survival, if you're in a crashing plane, you really only have two options: Put on a parachute and bail, or stay on the plane and die. Now, is giving you this advice in any way hypocritical? Of course not! If I put on a parachute, I'm not going to survive because I'm a better flyer than you, I'm going to survive because I had the good sense to put on a parachute. Neither of us can fly, but if I put on a parachute and you decide it's more comfortable to just sit there on the plane, on whose head is your inevitable demise?
On Judgement Day, no man will be found perfect. I've sinned. You've sinned. If God judges us based on our works, the outcome will be the same as if gravity judges us by our ability to fly. Splat.
But Jesus is like a parachute. In some ways, not so much. It's not like if you jump out of a plane, the parachute goes squelch instead of you. But in the sense that the parachute compensates for your inadequacies, Jesus is like a parachute. This is because He took the penalty for your sin on the cross. Rather than you being judged, God judged Jesus. I fail to see how my sin, for which He also took the penalty, affects the message I preach.