Why is World Orthodoxy and Catholicism suddenly finding it appropriate to open dialogs with Islam?

Both the pope …
http://www.dw.de/vatican-partners-with-islamic-museum-for-unique-exhibition/a-17721112

… and the fallen Orthodox Churches like the Romanian Patriarchate … (official website) …
http://ziarullumina.ro/etichete/dialog-crestin-ortodox-islamic-siit

May it be a step towards of warming up the Islamic world to accepting the coming World Orthodoxy Antichrist by highlighting the “common roots”? After all the seeds seem to have been planted a long, long time ago …

http://www.sinaimonastery.com/en/index.php?lid=68

Quote: “According to the tradition preserved at Sinai, Mohammed both knew and visited the monastery and the Sinai fathers. The Koran makes mention of the Sinai holy sites. In the second year of the Hegira, corresponding to AD 626, a delegation from Sinai requested a letter of protection from Mohammed. This was granted, and authorized by him when he placed his hand upon the document. In AD 1517, Sultan Selim I confirmed the monastery’s prerogatives, but took the original letter of protection for safekeeping to the royal treasury in Constantinople. At the same time, he gave the monastery certified copies of this document, each depicting the hand print of Mohammed in token of his having touched the original.”

With so many Orthodox martyrs having died over the centuries at the hands of Islam for refusing to adopt it, this Greek Orthodox Monastery in Mount Sinai is under the protection of Mohammed to this day?

They have recently discovered the Holy relics of Constantin Brancoveanu and his family in Romania, who were murdered centuries ago by the rulers of Turkey for not converting to Islam. We believe the timing of this is very telling, and the meaning and significance of the discovery shall be revealed in due course !

http://www.mediafax.ro/social/osemintele-lui-constantin-brancoveanu-vor-fi-venerate-ca-moaste-12630842

Have not our Holy Fathers taught us that it was better to die in the name of Christ rather than accepting such “earthly protection (safety)”? Strange … but this may help explain why we think that Catholicism bowing down to World Orthodoxy is the more likely scenario:

http://orthodoxaustralia.org/2014/06/09/orthodoxy-bowing-down-to-the-pope-or-the-pope-bowing-down-to-world-orthodoxy/

Muslims themselves also boast with such an “achievement” …

http://www.muslimsforpeace.org/holy-prophet/the-covenant/

http://www.youtube.com/watch?v=u0SsRmC6O5k