You may not be familiar with some of the terminology associated with the heresy of self-deification? You said, "Jesus makes many statements related to our Divinity." That is poor language, and suggests that Jesus taught we are God.
While it is true that the Bible suggests we partake of the "divine nature," this does not mean that we are Divine! So I suggest you look into this critical difference because it really is important that we not mislead others. There are in fact people who want to believe we obtain identification with Deity--not just partake of His spiritual gifts. Big difference!
I'm glad you're not talking about becoming Sinless and Perfect. In context the word may refer to sinless perfection or it can refer simply to maintaining a full proportion of something. the complete item.
For example, to make a "perfect pie," one would have to make the whole pie, and not just half a pie. That would be making a "perfect," or complete, pie.
Or, using the other definition, one would have to avoid mistakes in making the pie. We would not mistakenly add salt in place of sugar, or burn the pie in the oven. One definition of "perfect" refers to "complete," and the other to "unmarred."
To become "perfect" under the Law Jesus understood that obeying the Law required that no part of the Law be ignored. That is the "complete" definition of "perfect." God wants not just some of the Law to be obeyed, but all of it. He did not want Israel to avoid adultery but engage in murder. He did not want Israel to avoid idols, but then violate the Sabbath. The whole Law had to be observed to be "perfect."
The "renewal of the mind" is something different altogether. It has to do with focusing on Christ, as you suggested. It is a mindset we put on by putting our thoughts and mentality on Christ, who then communicates to us his own thoughts and mentality. We are actually receiving the revelation of Christ as it is presented to us and in this way are able to drive out wayward thoughts which assail all pretty regularly. Thanks for explaining!

Hope you're having a blessed holiday season as well!