Just a couple of things... Your early chart says:
"Common belief is that the Church is the same as the Israel of the Old Covenants. However, when Christ came the Church was opened to the Gentiles."
The Church IS
Israel. Scripture makes it clear that the Church founded by God Himself is the New Israel; the Israel of God. The faithful Israelites became Christians.
Those who rejected Him as the King of Israel became anti-Christs and are now known as 'Jews'.
The English word 'Gentiles' is a made-up word that has no basis in truth (just like the word 'Jew'). The word 'Gentiles' is derived from the Hebrew word 'Goyim' and means simply: Nations.
Non-Hebrews were always able to become Israelites through circumcision and keeping the Mosaic Law. Abraham himself was chosen from the Nations.
Also... There needs to be more divisions of so-called 'Judaism' - before and after Christ. The original Israelites followed the Mosaic Law. After the Babylonian captivity is when 'rabbinic Judaism' was born. When Christ came, he admonished the Judean Pharisees because they had basically eschewed the Mosaic Law for the 'traditions of men/traditions of the elders'.
The 'Judaism' of today is not the same as was the faith of the O.T. Israelites. Nor is the 'Judaism' of today entirely the same as the Pharisaism of Christ's time (though it is directly descended from the Pharisaic 'traditions of men' which made the commandments of God of no effect)...
The so-called 'Judaism' of today is a reactionary
, anti-Christ brand of Pharisaism which is based on the 'Oral Torah'; the Talmud (which todays 'Jews' just call 'Torah' to fool Christians into thinking that they just follow the Old Testament). Today's 'Judaism' is all based on and subservient to the Talmud and the rabbis.
The Talmud is anti-Christ, and was non-existent before the inception of Christianity. Hence, today's 'Judaism' is completely a reactionary cult based not on the Mosaic Law - but on the 'traditions of the elders'; the 'Oral Torah'... now immortalized in the anti-Christ Talmud. The main thing that makes a 'Jew' - a 'Jew' is their wholesale rejection of Jesus the Christ as the Messiah, the King of Israel.
The only exception today are the Karaites (however there are less than 100,000 Karaites worldwide, and mainstream 'Jewry' asserts that they are not really 'Jews'). What makes a Karaite a Karaite is the fact that they reject
the Talmud. If any of today's 'Jews' are to be considered 'faithful' Old Testament 'Jews'.... it has to be the Karaites, for they adhere only to the Tanakh; the Written Law; the Written Torah; the Mosaic Law.
So the Karaites are the closest thing today to the O.T. Mosaic Israelites... while the so-called 'Jews' of today are closest to the N.T. Pharisees (who Christ admonished and denounced as "serpents, vipers and sons of the devil") whose 'traditions of men' have evolved into the anti-Christian 'Oral Torah'; the Talmud.
It's good that you have both Israel and the Church on the same boldened line... but I don't think they should be separated - for they are one and the same. I would present them this way:"Israel/The Church"