1.The physical restoration is the uniting of Jew and Gentile into "one new man" or one "House of Israel" in the land of Israel. They believe that yeshu came to break down the wall of separation between Jew and gentile and that they must continue this work in preparation for his return. They have taken on Hebrew names, customs, dress, speech, and claim to be coming to "learn from Jews". All of this is to get closer to Jews in order to unite as one people.
Activities that promote this goal are "building bridges",cultivating relationships with Jews, volunteering or "serving", donating money to Israeli groups and working towards xian/ephraimite aliyah.
2. The spiritual restoration is when when the Jewish people are "restored" to their messiah yeshu, who is also G-d and the son of G-d, according to these xians. Then a "restored" Israel, Jew and gentile worshipers of yeshu, will be prepared for redemption, which they believe is yeshu's return and reign from Jerusalem.
-if they are ever allowed to make aliyah or even to live in the yishuvim on a permanent basis, then they will devote all efforts toward this goal.
They believe this "restoration" must take place before and for yeshu to return and that is why they are so determined and self sacrificing. They believe that the physical restoration will precede the spiritual restoration, which is why they have put proselytizing on the back burner so to speak.
Lars Enarson teaches
To restore something means to bring something back to it's original condition or better. And friends this is what is going to happen in order to make ready a people prepared for the lord we gonna see a restoration of what was in the beginning right here in Jerusalem because this is where it all began.
The first believers were totally a Jewish movement. The church and Israel were not separated at that time. The fathers and children, talking about those who have come to faith and born again into the kingdom of G-d. They were totally inside the Jewish people but later on the gospel began to reach out also to the gentiles then, as we have said before, the gentiles began to separate themselves from the Jewish people reject the Jewish people even begin to say that they have now replaced the Jewish people
Yeshu says there will be one flock and one shepherd. Both Jews and gentiles will come together under his leadership in the last days. We have been made one body with the Jewish people. Together we share one l-rd and one messiah and he is going to bring that body together the one new man of Jew and gentile in the messiah as everything is culminating here in Jerusalem. We have to be watchman now on the walls of Jerusalem, praying for this restoration G-d has promised because yeshu will not come back until the time has come for the restoration of all things.