From the Acts 28 blog of Brother Mark Phillips, Appear In Glory, June 26, 2014:
When did the Church begin?
There are three main views as to when the Church of which Christ is head
began. Probably over 95 percent of believers are confused on this issue, and fail to rightly divide the Scripture to determine what things belong to Israel and what things belong to the Church in our age. That 95 percent fails to see that Acts 2 did not begin the Church today, but was prophecy taking place for the Jewish believers called the Church of God in the book of Acts.
There are three main views as to when the Church of which Christ is head
began. Probably over 95 percent of believers are confused on this issue, and fail to rightly divide the Scripture to determine what things belong to Israel and what things belong to the Church in our age. That 95 percent fails to see that Acts 2 did not begin the Church today, but was prophecy taking place for the Jewish believers called the Church of God in the book of Acts.
The second group
 of believers try to see the difference in Paul's messages to the 
Kingdom Church of God and the Church today. Most of these believers 
believe the Church today started around Acts 9-13. They believe that 
throughout the book of Acts, Paul moved gradually away from the Gospel 
for the earthly Kingdom Church of a God and finally preached only to the
 Gentiles. The following is a general article that outlines their belief
 as to when the Church for our age began. Unfortunately, they fail to 
see that all through the entire book of Acts, Paul's hope was entirely 
in line with the earthly hope of the Jewish kingdom Church. One can read
 in Acts many times throughout Acts, in Paul's very own words, stating 
how his hope was of his father Abraham. It was not until Paul's last 
effort to get through to the Jewish leaders to accept their Messiah, 
that they refused to believe and God cut them off calling them "not my 
people " in Acts 28:28.
It was not until after Israel was cut off from God for the time being, in Acts 28:28, that God revealed to Paul in Prison about a new Creation, the Church which Jesus is the head. Finally One New Man, where both Gentile and Jewish believers are equal in stature. We finally read about this mystery that was finally revealed to Paul for the first time in history. It was a secret hid in the mind of a God and not revealed in the Old Testament or in prophecy about God's church for our age. Our Church age did not begin until after Acts 28:28.
It was not until after Israel was cut off from God for the time being, in Acts 28:28, that God revealed to Paul in Prison about a new Creation, the Church which Jesus is the head. Finally One New Man, where both Gentile and Jewish believers are equal in stature. We finally read about this mystery that was finally revealed to Paul for the first time in history. It was a secret hid in the mind of a God and not revealed in the Old Testament or in prophecy about God's church for our age. Our Church age did not begin until after Acts 28:28.
When Did the Church of the One Body Begin?
We believe the passage in Acts 28:28-31 is when the Apostle Paul 
declares to the Jewish leadership that the final opportunity for their 
acceptance of Jesus as Christ is over. From that point on the message 
for the plan of salvation is now authorized to be sent from the 
Gentiles, apart from Israel. Prior to this point in scripture, salvation
 was always either through or with the Jew. At this point the nation of 
Israel has been put on hold but will be still receive the promises and 
blessings made to them through Abraham in the future (when Elijah 
restores the revealed plan of God). However, for the first time in 
scripture, Paul declares that whosoever will accept Christ, they become a
 member of the body of Christ where Christ is the head. This is now the 
beginning of the church which is of His body which has its own calling, 
blessings, and inheritance separate from Israel. To explain this “hidden
 plan”, Paul then begins to write the final 7 books in scripture, 
chronologically (Ephesians, Philippians, Colossians, Titus, Philemon, 1 
and 2 Timothy.) The reason we describe this calling as the hidden 
purpose is that it was hidden in God, before the foundation of the world
 and not revealed until Paul was told to do so in Ephesians 3:9. The 
primary name given to us by the Apostle Paul for the special body of 
truth during this timeframe is called “The Mystery” (Ephesians 3:9, 
Colossians 1:25-26) and it is our calling for today. There are several 
positions in Christendom on when the Church of the One Body began. Those
 would be in Acts 2, Acts 9, Acts 13, and Acts 28. We obviously claim it
 was after the announcement Paul made in Acts 28:28."
Thank you, Brother Mark, for that easy-to-understand comparison! 


 The Dispensational Frontier of Acts 28:23-31.  The
 Analogy of a Frontier.  It is but reasonable to expect that any system 
of doctrine or interpretation that differs from or challenges orthodoxy,
 will be subjected to a fair amount of criticism, and this should be 
welcomed, for if our pursuit be the TRUTH, the faults discovered even by
 an enemy should be acknowledged and the quest continued. We believe 
that many whose interest has been quickened, but who have received a 
setback by some of the specious arguments advanced against us, would 
value a careful and constructive presentation of the reasons why Acts 28
 should be considered a dispensational boundary. This we hope to provide
 in the text below.
The Dispensational Frontier of Acts 28:23-31.  The
 Analogy of a Frontier.  It is but reasonable to expect that any system 
of doctrine or interpretation that differs from or challenges orthodoxy,
 will be subjected to a fair amount of criticism, and this should be 
welcomed, for if our pursuit be the TRUTH, the faults discovered even by
 an enemy should be acknowledged and the quest continued. We believe 
that many whose interest has been quickened, but who have received a 
setback by some of the specious arguments advanced against us, would 
value a careful and constructive presentation of the reasons why Acts 28
 should be considered a dispensational boundary. This we hope to provide
 in the text below.