“Halacha goes on how we perceive things, and we perceive Jerusalem as in the east, slightly to the south.”
I’m not sure what you mean by “we perceive Jerusalem as in the east, slightly to the south.”
How do we perceive it? On a Mercator map? A Mercator map, or any flat map for that matter, distorts the reality.
The reality, as perceived by any over-land or over-seas traveller, is that to get Yerushalayim from NYC you would travel NE, unless if you wanted to take a circuitous route by going East, or even worse, South East.