Lumbering Battlement enters the battlefield, triggering itself, exiling Felidar Guardian and any number of other nontoken creatures you control until Lumbering Battlement leaves the battlefield.
Glorious Protector enters the battlefield, triggering itself, exiling Lumbering Battlement and any number of other non-Angel creatures you control until Glorious Protector leaves the battlefield.
Felidar Guardian returns from exile to the battlefield due to Lumbering Battlement leaving the battlefield, triggering itself, blinking Glorious Protector.
Lumbering Battlement returns from exile to the battlefield without using the stack due to Glorious Protector leaving the battlefield.
When Lumbering Battlement and Glorious Protector enter the battlefield, they each trigger themselves.
Resolve Lumbering Battlement's trigger, exiling Felidar Guardian until Lumbering Battlement leaves the battlefield.
Resolve the Glorious Protector trigger, exiling Lumbering Battlement until Glorious Protector leaves the battlefield.