Yes, you are crazy. Sorry, I had to do that.
Think of it as you would a double action revolver. No external safety, yet countless DA wheelies have been and are carried without incident.
Just make sure that you have a quality holster that completely covers the trigger guard. If the trigger isn't pulled, the Glock will not go bang.
If you carry with an empty chamber, I hope you have your Concealed Paper Weight Permit.