"No heart submission to that knowledge" is your own creation. The knowledge being spoken of is the faith in Christ alone
There was no heart submission to that knowledge or else these dogs and pigs would have been transformed into sheep. You need to look a little deeper and stop trying so hard to accommodate your biased doctrine.
2 Pet 1:
1Simon Peter, a servant and apostle of Jesus Christ,
To those who through the righteousness of our God and Savior Jesus Christ have received a faith as precious as ours:
2Grace and peace be multiplied to you through the knowledge of God and of Jesus our Lord.
That's who this letter is written TO but not everyone mentioned in this letter has received salvation through faith in Christ (hence, dogs and pigs).
Partakers of the Divine Nature
3His divine power has given us everything we need for life and godliness through the knowledge of Him who called us by His own
a glory and excellence.
4Through these He has given us His precious and magnificent promises, so that through them you may become partakers of the divine nature, now that you have escaped the corruption in the world caused by evil desires.
As I already explained in post #103,398 - Those who are truly born of God have received a new nature (which is a divine nature) and have been transformed from dogs and pigs into sheep and also have new desires. The change is more than the cosmetic change for these dogs and pigs in 2 Peter 2:20. *These cleaned up on the outside dogs and pigs were
never sheep.
Compare 2 Peter 1:4 -
"partakers of the divine nature, having escaped the
corruption - Strongs #5356 that is in the world through lust with 2 Peter 2:20 - with they escaped the
pollutions - Strongs #3356 (different Greek word) of the world through the knowledge of the Lord and Saviour Jesus Christ, yet they are again entangled therein, and overcome. *Notice that 2 Peter 2:20
did not mention them being "partakers of the divine nature."
Corruption (Strongs #5356) (to shrivel or wither, spoil , ruin , deprave, corrupt , defile, to destroy by means of corrupting, to spoil as does milk). Corruption - describes decomposition or rotting of an organism and the accompanying stench. The utter depravity of the fallen flesh and the resultant moral decomposition of the world opposed to God is driven by it sinful lusts or evil desires.
Internal corruption.
Pollutions/Defilements (Strongs #3393) ("pollutions", "filthy things", "contaminations", "world's filth") describes the state of being tainted or stained by evil and refers to impurity, impure, tainted, defilement, foulness or pollution. Pollutions/Defilement refers to what is on the
outside (2 Peter 2:20). But genuine believers have
escaped the corruption that is in the world through lust (2 Peter 1:4).
*Corruption is deeper than pollutions/defilements on the outside: it is decay on the inside.* You can try all you want to explain this truth away, but to no avail.
For this very reason, make every effort to add to your faith virtue; and to virtue, knowledge;
6and to knowledge, self-control; and to self-control, perseverance; and to perseverance, godliness;
7and to godliness, brotherly kindness; and to brotherly kindness, love.
8For if you possess these qualities and continue to grow in them, they will keep you from being ineffective and unproductive in your knowledge of our Lord Jesus Christ.
9But whoever lacks these traits is nearsighted to the point of blindness, having forgotten that he has been cleansed from his past sins.
By cultivating the qualities listed in 2 Peter 1:5-7, Christians can be sure that God has called them and elected them. These fruits will confirm it. Make sure you have been called and elected - bébaios (an adjective, derived from bainō, "to walk where it is solid") – properly, solid (sure) enough to walk on; hence, firm, unshakable; (figuratively) absolutely dependable, giving guaranteed support (security, surety). To practice these qualities gives evidence of salvation, though they are not the basis (or cause) of salvation. They are the effect. Cause of being in Christ (FAITH) effect of being in Christ (FRUIT).
For if these things are yours and abound, you will be neither barren nor unfruitful in the knowledge of our Lord Jesus Christ (vs. 8). For he who lacks these things is shortsighted, even to blindness, and has forgotten that he was cleansed from his old sins (vs. 9). What is the object of the forgetting? Is this forgetting temporary because this believer had fallen into error or does this lack of fruit exist because this person’s "cleansing" was merely an external reformation that did not come from a truly changed heart?
The genuineness of their profession will be demonstrated as they express these virtues. These fruits confirm their divine source. 10 Therefore, brothers, be all the more diligent to make your calling and election sure, for if you practice these qualities you will never
fall. *Proverbs 24:16, we read - For a
righteous man may fall seven times and rise again, But the wicked shall fall by calamity.
So Peter is saying, you can still have this awesome knowledge and still fall away from it.
You can have the "knowledge" yet with
no heart submission to the knowledge which explains the falling away from it. NEVER SAVED.