Being a police officer isn't close to one of the most dangerous jobs in America, but being in contact with an adversarial police officer is one of the most dangerous situations to be in. I'd be more afraid of the police, like many people.
"Being a police officer isn't close to one of the most dangerous jobs in America, but being in contact with an adversarial police officer is one of the most dangerous situations to be in."
This is a logical fallacy. It can be dangerous to be at the hands of an hostile officer, but then an equal comparison would be to say that being a police officer I'm the presence of an armed violent criminal is dangerous.
But like you said, being an officer is not the most dangerous profession. Just like being in the presence of a police officer is not that dangerous.