The Kingdom of Heaven Subset

As mentioned in the Sunday School, the reason there is so much confusion concerning the future kingdom is because the Kingdom of Heaven is likely a subset of the overarching Kingdom of God. We already considered the Kingdom of God, so now let's look at the Kingdom of Heaven.
• The Kingdom of Heaven is the future fulfillment of past pronouncements concerning the kingdom
Kingdom of Heaven appears 33 times in the New Testament with one of the references in Matthew19:12 signifying possessive: "the kingdom of heaven's sake." All 33 occurrences of Kingdom of Heaven show up in the book of Matthew.
The Kingdom of Heaven is strictly a political Jewish institution that will exist when heaven rules the heavens—which includes the earth. The book of Daniel expresses an example of what happens when God takes rule over earthly kingdoms as He interjects His will into the world. (Daniel 4:25)

Matthew was written from the perspective of Christ as King. As such, it reveals that the apostles were sent to the lost sheep of the house of Israel preaching that the Kingdom of Heaven was at hand.

After the beheading of John the Baptist, Jesus announced that the Kingdom of Heaven had suffered violence and the violent take the Kingdom of Heaven by force.
Matthew 11:12 And from the days of John the Baptist until now the kingdom of heaven suffereth violence, and the violent take it by force.
Following Christ's ascension, Peter and the other apostles offered one final opportunity to the nation of Israel concerning the Kingdom of Heaven. Of course, we know that the Jews rejected the preaching of the apostles. However, this same good news of the kingdom will again be preached to the Jews during....