I'll get the ball rolling using the manual as a guide...
Cheap Fuel or bad tank of gas?
CAI got loose. Retighten it on.
Vacuum Leak. (This happened to mine and resulted in a CEL)
Bad PCV valve?
Bad fuel pump?
Disconnect vacuum hose from Purge valve and plug opening end of vacuum hose, then start engine. does this help?
MAF sensor contamination. Clean this with MAF cleaner. If your oiled CAI got the sensor mucked then it could affect idle.
Tap on the EGR valve when engine is idling. Does engine condition improve?
Does the engine stall after 2 seconds being started? If not then the immobilizer is fine.
Inspect vacuum connection, intake filter element dirty?, fuses, connections, wiring...
Since you need part throttle to idle, inspect the IAC (idle air control) valve next to the intake manifold, check wiring harness.
Has the CAI movement ruined a connection to the MAF, or the wires frayed?
Bad thermostat? It thinks the engine is warm, but it's really COLD.
This only happens when you fill up a full tank of gas? Then doesn't happen when you start your car with half tank etc...?
There's probably a more certain answer, i just listed all the fixes for hard starting. Maybe something will stand out for somebody else.
Cheap Fuel or bad tank of gas?
CAI got loose. Retighten it on.
Vacuum Leak. (This happened to mine and resulted in a CEL)
Bad PCV valve?
Bad fuel pump?
Disconnect vacuum hose from Purge valve and plug opening end of vacuum hose, then start engine. does this help?
MAF sensor contamination. Clean this with MAF cleaner. If your oiled CAI got the sensor mucked then it could affect idle.
Tap on the EGR valve when engine is idling. Does engine condition improve?
Does the engine stall after 2 seconds being started? If not then the immobilizer is fine.
Inspect vacuum connection, intake filter element dirty?, fuses, connections, wiring...
Since you need part throttle to idle, inspect the IAC (idle air control) valve next to the intake manifold, check wiring harness.
Has the CAI movement ruined a connection to the MAF, or the wires frayed?
Bad thermostat? It thinks the engine is warm, but it's really COLD.
This only happens when you fill up a full tank of gas? Then doesn't happen when you start your car with half tank etc...?
There's probably a more certain answer, i just listed all the fixes for hard starting. Maybe something will stand out for somebody else.