I did something similar but did it all through the stock wiring, switch, etc after taking current measurements. My final test was blasting the horn for a continuous minute while everything was on (once w/ bike running, once not running). The branch circuit maxed at 5.3 amps. It's been over a year now and still no issue. 
What I installed was a high and low tone horn from a '97 Dodge Intrepid I use to own. I love the way this horn combo sounded and originally was going to swap out my stock Civic horn w/ these but after been run off the road I decided to put them on the bike.
It took some crafting to get the bracket right to hold both horns pointed forward, slightly down (so any water would drain out) and from hitting anything on the bike. After about 2 hours I got this:
[url=http://www.youtube.com/watch?v=tLGRUqoxdLU]h38so9sfwnw349.wmv - YouTube[/URL]
What I installed was a high and low tone horn from a '97 Dodge Intrepid I use to own. I love the way this horn combo sounded and originally was going to swap out my stock Civic horn w/ these but after been run off the road I decided to put them on the bike.
It took some crafting to get the bracket right to hold both horns pointed forward, slightly down (so any water would drain out) and from hitting anything on the bike. After about 2 hours I got this:
[url=http://www.youtube.com/watch?v=tLGRUqoxdLU]h38so9sfwnw349.wmv - YouTube[/URL]