Been there done that. I try to be clear in my questions but it's hard and I don't use a lot of words.
That wasn't exactly my point. What I'm trying to understand is this kingdom program. What I see is Jesus saying the kingdom is at hand. Then after his DBR, people proclaiming the kingdom.
Here Philip is preaching the good news about the kingdom and baptizing the believers.
Acts 8:12 But when they believed Philip as he preached good news about the kingdom of God and the name of Jesus Christ, they were baptized, both men and women.
Here after Paul has baptized some believers he goes into the synagogue and persuades about the kingdom.
Acts 19:8 And he entered the synagogue and for three months spoke boldly, reasoning and persuading them about the kingdom of God.
In your understanding, what is Paul trying to persuade them about the kingdom?
Your question assumes that the Dispensationalist's use of the term "Kingdom gospel" or other references to "the Kingdom" as being equivalent to speaking only about the Jews means that every use of the phrase "kingdom of God" in the bible means the exact same thing.
We are all member of the greater kingdom of God and Paul's use of the phrase doesn't negate his entire ministry nor the unmistakable differences between what he taught vs. that which the Twelve taught.
Acts 19 is just before Paul goes, by inspiration, to Jerusalem where he is to explain his gospel to the Twelve. In Acts 20 he says...
Acts 20:22 And see, now I go bound in the spirit to Jerusalem, not knowing the things that will happen to me there, 23 except that the Holy Spirit testifies in every city, saying that chains and tribulations await me. 24 But none of these things move me; nor do I count my life dear to myself, so that I may finish my race with joy, and the ministry which I received from the Lord Jesus, to testify to the gospel of the grace of God.
25 “And indeed, now I know that you all, among whom I have gone preaching the kingdom of God, will see my face no more.
25 “And indeed, now I know that you all, among whom I have gone preaching the kingdom of God, will see my face no more.
Then, if you continue reading, you discover that he meets with the Twelve who tell him that their converts in Jerusalem are all "zealous for the law". Then, when Paul gets into all sorts of trouble in Jerusalem, what is it about? It's about him teaching people not to be circumcised or follow the Law.
And therein lies the answer to your question about what is the kingdom gospel. It is what Jesus taught and it is what the Twelve taught after Him. That is to repent of your sins and following the Law and you will be saved. Paul's gospel was similar but sort of reversed in that instead of salvation being the result of a righteous life, it's that a righteous life is the result of salvation. As such, there is no longer any need for the Law! (Gal. 3)
If you want to know whether you follow the gospel that the Twelve preached, ask yourself whether you are "zealous for the law" and are into cleansing rituals and shaving your head as they asked Paul to do in order to keep everyone from freaking out.
Resting in Him,
Clete