What does 2:4 say?
"who desires everyone to be saved and to come to the knowledge of the truth"
Now does it say that everyone is saved and that everyone comes to knowledge of truth? Nope. Who is the "everyone" refering to? It's talking about Jews plus Gentlies. He wants all men to be saved, not just Jews anymore. "All men" means it's not just Jewish believers who are saved, but "all men", Jews and Gentiles who believe. He's writing with this intent because Timothy, a GENTILE teacher, needs to understand it. And my 2:4 doesn't say "especially believers". Actually, none of them do. You are just blatantly reading into the text now and prove one of my points - eisigesis.
2:7 For this I was appointed a preacher and apostle I am telling the truth; I am not lying and a teacher of the Gentiles in faith and truth.
Again, you don't feel the need to address all the verses that have been posted, all that has been done by you is to try posting another verse instead. This a fallacious tactic called a red herring. A verse is posted to you, and you effectually just say, "well look at this verse". I'm sorry there is a tension in your worldview where you don't feel the need to beleive the entire witness of scripture. If you don't want to believe it all, then just say your opinion is that parts of scripture are wrong and get it over with. When you cherrypick scripture, just own up to what you're doing.