I guess my thought would be that holiness is a lot more than just avoiding sin. One can avoid sin, and not be anything close to holy because they never all God's power to infiltrate their life.
And the opposite is true as well. One can do things to imitate Christ on the outside, without the transforming power of God on the inside, and that person is no closer to holiness than the person I mentioned above. As a matter of fact, the person who makes the mistake of imitating Christ instead of allowing the Christ who lives in them to change and transform us into his image is pretty bad off.
Holiness is remaining in Christ and allowing him to prune us and transform us daily into a purer reflection of the Father. Holiness is allowing Christ, who lives in me, to show me the flaws of my fallen nature and work through me to overcome those flaws.
Holiness is striving for Christlikeness, not on our own, but through the power of remaining in Christ.
"I have been crucified with Christ and I no longer live, but Christ lives in me. The life I live in the body, I live by faith in the Son of God, who loved me and gave himself for me. I do not set aside the grace of God, for if righteousness could be gained through the law, Christ died for nothing!