I saw this same statement on another website recently. And the ultimate purpose there for it was as an argument in favor of the homosexual lifestyle. IOW, it was being used in order to argue that anyone who paid lipservice to Christ's sacrifice could live a lifestyle which was a direct contradiction to what he and his apostles taught, without facing any consequences for having lived that lifestyle.
However, Scripture itself teaches that those who truly accept Jesus' sacrifice will be given a new nature. This new nature will see certain actions and motivations as abhorrent, even if prior to accepting Jesus' sacrifice those same actions and motivations were seen as desirable. In their place will be implanted a new set of motivations, which will be channeled toward the betterment of not only themselves, but also all others around them:
So I say, live by the Spirit, and you will not gratify the desires of the sinful nature. For the sinful nature desires what is contrary to the Spirit, and the Spirit what is contrary to the sinful nature. They are in conflict with each other, so that you do not do what you want. But if you are led by the Spirit, you are not under law.
The acts of the sinful nature are obvious: sexual immorality, impurity and debauchery; idolatry and witchcraft; hatred, discord, jealousy, fits of rage, selfish ambition, dissensions, factions and envy; drunkenness, orgies, and the like. I warn you, as I did before, that those who live like this will not inherit the kingdom of God.
But the fruit of the Spirit is love, joy, peace, patience, kindness, goodness, faithfulness, gentleness and self-control. Against such things there is no law. Those who belong to Christ Jesus have crucified the sinful nature with its passions and desires. Since we live by the Spirit, let us keep in step with the Spirit. Let us not become conceited, provoking and envying each other. (Galatians 5:16-26,NIV)
That this passage is to be taken seriously is underlined by a passage in the next chapter:
Do not be deceived: God cannot be mocked. A man reaps what he sows. The one who sows to please his sinful nature, from that nature will reap destruction; the one who sows to please the Spirit, from the Spirit will reap eternal life. Let us not become weary in doing good, for at the proper time we will reap a harvest if we do not give up. Therefore as we have opportunity, let us do good to all people, especially to those who belong to the family of believers. (Galatians 6:7-10,NIV)
When we are born physically the signs of a successful birth is a spontaneous heartbeat, respirations, and brain activity. When we are reborn spiritually the signs of a successful rebirth are the motivations listed as 'the fruit of the Spirit' beginning to take control of our actions. So those who claim that they can mouth the words, "I accept Jesus Christ's sacrifice as the perfect atonement for my sins," so that they can continue living without fear of consequences a lifestyle which is diametrically opposed to Christianity will find a horrific judgement awaiting them.