Celestial Gatekeeper enters the battlefield, triggering Dual Nature's first ability, creating a token copy of Celestial Gatekeeper.
Activate Phyrexian Altar by sacrificing the nontoken Celestial Gatekeeper, adding ({1} magic symbol) .
Celestial Gatekeeper dies, triggering itself and Dual Nature's second ability.
In response, activate Phyrexian Altar by sacrificing the Celestial Gatekeeper token, adding ({1} magic symbol) .
The Celestial Gateekeeper token dies, triggering itself, exiling itself and returning Celestial Gatekeeper from your graveyard to the battlefield.
Celestial Gatekeeper enters the battlefield, triggering Dual Nature's first ability, creating a token copy of Celestial Gatekeeper.
Resolve the nontoken Celestial Gateekeeper's trigger, failing to exile itself and returning up to two more Birds and/or Clerics from your graveyard to the battlefield.
If you returned a creature this way, Dual Nature's first ability triggers, creating a token copy of that creature.
Repeat from step 3.
Resolve all triggers from Dual Nature's second ability, exiling all tokens with the same name as a creature card that left the battlefield during this combo.