Can we clean ourselves up and become perfect Christians in our own power alone?
No, for apart from Him we can do nothing. (John 15:5)
Must we allow Jesus to clean us up in this lifetime in order to be saved?
Yes, sanctification is a requirement of salvation.
“Do you not know that the unrighteous will not inherit the kingdom of God? Do not be deceived. Neither fornicators, nor idolaters, nor adulterers, nor homosexuals, nor sodomites, nor thieves, nor covetous, nor drunkards, nor revilers, nor extortioners will inherit the kingdom of God. And such were some of you. But you were washed, but you were sanctified, but you were justified in the name of the Lord Jesus and by the Spirit of our God.” (1 Corinthians 6:9-11)