Yes, while you can't lump all hyper-dispensationalists together, they believe in different ages or dispensations. And they believe the scriptures only apply to those who live or lived in that particular age. So when Jesus walked the earth, that was the Dispensation of Law, and many do not think the teachings of Jesus apply to them. Now we are in the Dispensation of Grace and hypers believe generally that only the teachings of Paul apply to them now. They believe certain books only apply to the Jews during the Tribulation and are not written for believers today.
They also believe in more than one gospel, even though Paul warned against preaching any other gospel than he preached.
Gal 1:8 But though we, or an angel from heaven, preach any other gospel unto you than that which we have preached unto you, let him be accursed.
9 As we said before, so say I now again, If any man preach any other gospel unto you than that ye have received, let him be accursed.
Now, you would think this double warning from Paul would terrify anyone from preaching more than one gospel, but hyper-dispensationalists ignore these warnings and claim that Paul is only speaking of this age or dispensation. They claim there were other gospels as the gospel of the Kingdom preached by John the Baptist and Jesus Christ.
Mark 1:14 Now after that John was put in prison, Jesus came into Galilee, preaching the gospel of the kingdom of God,
15 And saying, The time is fulfilled, and the kingdom of God is at hand: repent ye, and believe the gospel.
They dote on words, believeing this must be a different gospel because it is called the "gospel of the kingdom of God", overlooking that in the very next verse it is simply called "the gospel".
They believe that this gospel was to the Jews only, and that upon repenting the restoration of the kingdom of Israel would have taken place. The Gentiles are completely excluded from this gospel, even though Jesus himself taught the Gentiles would be included.
Matt 8:11 And I say unto you, That many shall come from the east and west, and shall sit down with Abraham, and Isaac, and Jacob, in the kingdom of heaven.
We know Jesus is speaking of Gentiles here, because in the context he had just healed the servant of a centurion who was a Gentile.
We know also that John the Baptist was preaching the same gospel that Paul taught, because Paul himself verifies this.
Acts 19:4 Then said Paul, John verily baptized with the baptism of repentance, saying unto the people, that they should believe on him which should come after him, that is, on Christ Jesus.
They believe Peter was preaching to the Jews in early Acts that if the Jews repented of killing Jesus and were baptized, then Jesus would immediately return and restore the kingdom. But Jesus himself told the apostles it was not for them to know when he would restore the kingdom.
Acts 1:6 When they therefore were come together, they asked of him, saying, Lord, wilt thou at this time restore again the kingdom to Israel?
7 And he said unto them, It is not for you to know the times or the seasons, which the Father hath put in his own power.
They ignore the fact that Jesus answered the apostles directly and said this information was not for them to know, and then insist Peter still preached that Jesus would return immediately if the Jews would repent and be baptized. And this is the one and only verse in all the Book of Acts that even mentions the restoration of the kingdom of Israel.
They also ignore the words "times" and "seasons" which Jesus gave in his answer showing that at least two ages must take place before he would return. Pretty amazing for folks that put so much emphasis on times and ages.
They also ignore that Paul verifies that the same gospel he preached was preached to Abraham.
Gal 3:8 And the scripture, foreseeing that God would justify the heathen through faith, preached before the gospel unto Abraham, saying, In thee shall all nations be blessed.
So again, they choose to overlook this verse that proves there is but one gospel that has been preached throughout the scriptures.
They also insist the "everlasting gospel" in Revelations is a completely seperate gospel than what Paul preached and only applies to a future time. They completely ignore that an "everlasting" gospel would also apply now and to times past as well.
You can show them the scriptures, but they will not listen, or at least I do not know of any that have come out of this false teaching.