It's more than that. Many people invite Jesus into their hearts but do not get born again. I was one, at a Billy Graham meeting. I was not convicted that I was a sinner and my supposed commitment faded away in very little time. The parable of the sower explains what happens.Sometimes I wonder what a true Christian man is. I always believe it was a man who asked Jesus into his heart, and then did the best He could to follow the scriptures, in the way He lives. Asking Jesus into your heart is the easy part. Following the scriptures at all times isn't easy. Nobody is perfect, I think...
On the day of Pentecost, the listeners were "cut to the heart" and said, "what shall we do?". When I was saved properly, I was also cut to the heart. I realised that I was a sinner. I knew nothing of Acts 2 but I asked the same question. When I received Christ as Saviour, I knew that I was different. That was 50 years ago.
Trying to be a good Christian is a recipe for failure and defeat. We need to acknowledge that only Jesus can live the Christian life. As we learn to depend on Him, we will depend less on ourselves. Defeats will become less common and we will live more in victory. And yes, perfection is not possible in this lifetime. It helps to keep that in mind when looking for a spouse.