That depends on where on Earth you are standing.
Muslims don't worship the kabba but the kabba is the direction of prayer for Muslims after Jerusalem was the direction of prayer. first Jerusalem was the direction of prayer for Muslim then a verse in the quran ordered Muslims to switch their direction of prayer from Jerusalem to the kabba.
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You would travel south from Jerusalem to Bethlehem.
Bethlehem is just slightly east of due south from Jerusalem.
To take the direction of Kaaba in Makkah (or Mecca) in Saudi Arabia.
You would travel east.
Jews face in the direction of Jerusalem when they worship.
No. We always face Jerusalem (1 Kings ch.8; and Talmud, Berakhot 30a). In lands to the west of Jerusalem, such as America, we face east. Elsewhere, we face whatever direction Jerusalem is in (I, for example, face south, since the Galilee where I live is north of Jerusalem).
Jews pray facing the east-in the direction of Jerusalem
Because, Before mecca to be the direction of worship, it was jerusalem's Masjide Aqsa towards which Muslims use to worship. Now throughout the world, every Muslim worship in the direction of Mecca. And second coming of Jesus is going to be in front of Masjide Aqsa (also known as baitul muqaddas) in Jerusalem.
There are currently eight gates in the Old City of Jerusalem. These gates are historically significant entrances to the city and are named based on their direction or symbolism.
Yes, they point east to Jerusalem because that is where Jesus died and where christianity was created.