My 2012 Wrangler Unlimited has a similar delay when I honk the horn. I can't "blip" the horn. There is a pause then about a 1/2 second honk. That's as short as it will go.
Does everything have to be computer controlled?
Good to hear the starter delay isn't just mine.
2012 JKU Rubicon: Flame Red, Manual, Max Tow, Dual Top, Supl. Air Bags, Heated Seats, ACE Rock Sliders.