My Rebbe the Cheif Rabbi of the old city Rav Avigdor Nevenzahl Shlit"a is qouted to have said that it is a bizayon to the kosel to daven towards the left.

Another reason why one would not need to face left is because it is an inherent safek as to where the actual makom hamikdash is located. Although one could be somech on the Ridvaz who says that the makom hamikdash is "tachas kipas hasela". However Rav Moshe Shternbuch Shlit"a in Teshuvos v' Hanhagos; basing himself upon other sources, doubts the assumption of the Ridvaz(which is actually based upon what others said).This is also the reason why going onto Har Habayis is considered an Issur Chamur which has been proclaimed assur by all great rabbonim of the previous generation.

My Rebbe the Cheif Rabbi of the old city Rav Avigdor Nevenzahl Shlit"a told me that it is a bizayon to the kosel to daven towards the left.

Another reason why one would not need to face left is because it is an inherent safek as to where the actual makom hamikdash is located. Although one could be somech on the Ridvaz who says that the makom hamikdash is "tachas kipas hasela". However Rav Moshe Shternbuch Shlit"a in Teshuvos v' Hanhagos; basing himself upon other sources, doubts the assumption of the Ridvaz(which is actually based upon what others said).This is also the reason why going onto Har Habayis is considered an Issur Chamur which has been proclaimed assur by all great rabbonim of the previous generation.