I don't know if this is happening in other places, but here is a great example how can Christian Churches co-exist under the same roof.
This Church is 900 years old. And stands at a place were a Basilica(an architectual term for the Byzantine early Churches was build in 340 A.D. The oldest relic of the Early Church in the Island. Unfortunately it was destroyed by an earthquake. Apostle Paul also preached here. Near by there are catacombs, and other early Christian monuments, since the first Bishop of the Island was Apostle Barnabas.
The Eucharist of the Orthodox Church starts at 6.30 Sunday(Kyriaki for Greek that means - Lord's Day) morning and finishes by 9.30 with the communion. Then the Catholic Church use it, and final the Agglican.
Indeed no matter differences we might have as the basic Christian dominations. Orthodox-Catholic-Agglican, still we can share the same Church. Shall we invite WT to do it so?