The point being more guns in possession of the population creates situations of guns being used in acts of violence.
Among criminals. Law abiding citizens are not engaged in criminal acts, nor are they the ones perpetrating violence. Where are you getting your theories from?
The problem that is present in the US is that being that it is known that a great amount of guns are owned by the population at hand, it compels people to own them themselves as a means of self protection.
I disagree with this statement. I've never met anyone who has gone out and purchased a gun for no other reason than other people have guns. I am not aware of any arms race among the Average Joes of America.
Again, I ask, what are you basing your theories on? So far, you've not posted one source of reference to back up your claims.