"If anyone teaches a different doctrine and does not agree with the sound words of our Lord Jesus Christ, and the teaching that accords with godliness, he is puffed up with conceit and understands nothing...." 1 Timothy 6:3-4
The only way to attempt to reconcile this, would be to try and discredit the Book of 1 Timothy.
YOU think he is referring to Matt. thru John.
Acts 26:16 But rise, and stand upon thy feet: for I have appeared unto thee for this purpose, to make thee a minister and a witness both of these things which thou hast seen, and of those things in the which I will appear unto thee;
Romans 15:15 Nevertheless, brethren, I have written the more boldly unto you in some sort, as putting you in mind, because of the grace that is given to me of God, 15:16 That I should be the minister of Jesus Christ to the Gentiles, ministering the gospel of God, that the offering up of the Gentiles might be acceptable, being sanctified by the Holy Ghost. 15:17 I have therefore whereof I may glory through Jesus Christ in those things which pertain to God. 15:18 For I will not dare to speak of any of those things which Christ hath not wrought by me, to make the Gentiles obedient, by word and deed, 15:19 Through mighty signs and wonders, by the power of the Spirit of God; so that from Jerusalem, and round about unto Illyricum, I have fully preached the gospel of Christ. 15:20 Yea, so have I strived to preach the gospel, not where Christ was named, lest I should build upon another man's foundation: 15:21 But as it is written, To whom he was not spoken of, they shall see: and they that have not heard shall understand.
Notice - NOT in accordance with the principle of where and how Christ had been named, or preached before Paul BUT in accordance with a principle that is found BOTH in that which was written prior to Paul concerning Christ being preached one day among the outcasts of Israel, and in Paul's preaching of Christ among the Gentiles.
Because these principles are the same within both preachings of Christ, you misconstrue that the preaching is also the same within both.
But Paul's preaching of Christ (at least within my understanding of A9D, or Mid-Acts Dispensationalism) is this side of....
Romans 3:9 What then? are we better than they? No, in no wise: for we have before proved both Jews and Gentiles, that they are all under sin; 3:10 As it is written, There is none righteous, no, not one: 3:11 There is none that understandeth, there is none that seeketh after God. 3:12 They are all gone out of the way, they are together become unprofitable; there is none that doeth good, no, not one. 3:13 Their throat is an open sepulchre; with their tongues they have used deceit; the poison of asps is under their lips: 3:14 Whose mouth is full of cursing and bitterness: 3:15 Their feet are swift to shed blood: 3:16 Destruction and misery are in their ways: 3:17 And the way of peace have they not known: 3:18 There is no fear of God before their eyes. 3:19 Now we know that what things soever the law saith, it saith to them who are under the law: that every mouth may be stopped, and all the world may become guilty before God. 3:20 Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law is the knowledge of sin. 3:21 But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets; 3:22 Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference: 3:23 For all have sinned, and come short of the glory of God; 3:24 Being justified freely by his grace through the redemption that is in Christ Jesus: 3:25 Whom God hath set forth to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God; 3:26 To declare, I say, at this time his righteousness: that he might be just, and the justifier of him which believeth in Jesus.
Thus, those of Paul's various assertions as to...
1 Corinthians 14:37 If any man think himself to be a prophet, or spiritual, let him acknowledge that the things that I write unto you are the commandments of the Lord. 14:38 But if any man be ignorant, let him be ignorant.
...are in light of that change - not in ignorance of it.