You know I didn't like the design from the start but thought the "oriented to face Mecca" was just "Black helo kookey"
When I first looked an the maps I didn't look close I was thinking it's just facing north pole because of the grids on the maps....but this type map view the grids in not center on the pole but on the center point of the path ... if this numbers have not been fudged ..it does seem to be deliberately oriented to face Mecca...
And there is a 1 in 360 chance (or 1 in infinity chance if you don't round) that this would occur accidentally.