yes it will run because the throw out bearing has nothing to do with the motor it's in the clutch.
No a car cannot run without the alternator installed. All the components in a car have their specific function and any missing piece will cause the car not to run.
In most cases, no. Although, I have seen engines "throw a rod" and continue to run, poorly but not for long.
Gravity is the only way to run a car without fuel Well the wind could push it.
Run the car good
A car can run with out an intercooler, but if it was designed to have an intercooler, the driveabilty will be affected.
You can run an engine in/out of a car without a transmission. Car wont move and engine wont be mounted properly. So i suggest not to run an engine without a transmission unless you know what you are doing.
when installing them always pack the bearings with grease, if the bearing has been run without grease and making a roaring sound it is probably bad and needs replaced
No.
Nope
no
step on it, run it over with a car, throw it out a window...why do you want to break it?
Some cars can run without the airflow meter (though not properly), others cannot run at all.