“Our Lord directed the twelve to go where??? Israel....not the Gentiles....but to Israel! [Matthew 10:5-6]”
No, He directed them to go to Jerusalem, Judea, Samaria and to the utter most part of the earth (Acts 1:8). When He sent the 12 in Matthew 10, the Holy Spirit was not extant. He came on them as in the Old Testament eeconomy.
I'm sorry....you are wrong. They were not directed to go there. They were told to stay out of there [Matthew 10:5-6], but like most human beings.....when it comes to the Word of God, they ignored it.
[Acts 1:8] But ye shall receive power, after that the Holy Ghost is come upon you: and ye shall be witnesses unto me both in Jerusalem, and in all Judaea, and in Samaria, and unto the uttermost part of the earth.
The one place this scripture (in violation of the command in Matthew 10:5-6) that says they would be a witness to fulfill this prophecy, was Samaria. The reason Peter and John went to Samaria was because Philip....a non Apostle [Acts 6:5] went to Samaria [Acts 8:5] to preach the gospel. Peter and John were summoned (in violation of Our Lord's command) to bring the Holy Spirit [Acts 8:15-17]. Philip, a Grecian Jew [Acts 6:1-6], was not able to summon the Holy Spirit. Thus, he called for Peter and John. They should have stayed in Jerusalem because this is exactly where Simon Magus and his Babylonian Mystery Religion gets its start. We all know where Simon ends up being treated like a god.....don't we?
There were problems from the start with the Grecian Jews and they almost killed the Apostle Paul [Acts 9:26-30]. This foray into Samaria was not the work of The Lord! It was the work of these Septuagint indoctrinated Jews who had a completely different vision of this cradle of Christianity.
The rest of your scripture [Acts 1:8] indeed tells us that the Israelites had been dispersed and had immigrated all over the known world at that time.