I haven't heard of this replacement theology before, not that it isn't what some believe. israel was physical ,but now it is a spiritual
people. The sacrifice of christ was to benefit those who believe ,making one a jew inwardly not outwardly or physically. The sacrifice of christ was to make a better way replacing temples made with hands,earthly priests , and to remove the ceremonies of the temple ,washings etc. . There were many who portrayed to the jews errantly the whole law of GOD or commandments was done away with which understandably would lead them to believe that this was a false doctrine or faith or religion. The intention was to bring the physical isreal to accept the ultimate sacrifice of christ acknowledging that they could not please GOD in the flesh remained in there sins needing the grace of GOD to forgive their sins vs the sacrifice of animals,and the gentiles to know they could be accepted just as sinful as their counter part physical isreal , without the ceremonies ,temple, etc. but giving way for both to repent ,believe and be baptised and forgiven and believe in the law of GOD written in their hearts because GOD knew of our physical weaknesses and rebellion we needed a way of being forgiven . We find paul and peter dealing with this issue ,paul preaching to the gentiles and sometimes the jew, and peter preaching to physical israel , trying to bring them together ,even though peter at one time had difficulty with paul ,i think did come to understand. The main point of contention appears to be the law , and misunderstanding on both sides, physical isreal coming to terms with the ultimate sacrifice of christ replacing earthly priests and temples ,and the gentiles coming to terms with being sinners needing christ for the forgiveness of their sins just as the jews do because they cannot please GOD in the flesh or obey perfectly and are weak , but for both flat out rebellion would not be accepted by the GOD because the law of GOD remains ,because the law is not for the man who obeys the law but the sinner. I'm sure many would disagree, i fully expect that , but i hope there are not many that believe in this replacement theology which you speak of , but many seek division for a variety of reasons ,it would not surprise me this too is out there .