Dodge Repair Questions? Ask a Mechanic for Answers ASAP
as part of the recall you ONLY get the air bag NOT the cover which contains the horn switch, takata is ONLY replacing the part under the cover, although if the dealer had known this when they were doing the recall there would likely have been no labor to install the cover, since it has to be separated from the air bag to replace the air bag.
now how did you perform the diagnosis?
the horn switch is NOT hardwired to the horn relay and the computer that controls the horn function has the ability to turn off the horn if it determines there is a problem that will keep the horn on, which is likely what is happening, as the communication bus goes to "sleep" the horn is turned off and when you open a door the bus "wakes up" and the horn goes off again, this can easily be caused by a faulty horn switch
800.00 what was the dealer trying to sell you?
that sounds like a complete air bag assembly which with the recall on the drivers air bag in effect that raises a red flag BUT looking at the parts catalog I can see a problem, the air bag cover is not serviced separate from the air bag, which leaves only a used part as your parts choice, now you will have an issue here if you use a used one with the recall you MUST use ONLY the cover from the used part and NOT the complete assembly, assuming the recyclers will sell one (that tacata problem is causing liability issues with used air bags, the recyclers may not want the liability of selling a potentially dangerous part)
now you can put in a call to the customer assistance hotline in the back of our owners manual and ask for assistance, since this is a safety issue they MAY be able to come up with a solution for you
tonight when i get home i will upload a copy of tje pertinent recall instructions for you so you can see what is involved in the recall, YOU DO NOT GET a new air bag cover/ horn switch with the recall JUST the air bag, your cover is reused, now the problem dodge decided NOT to service JUST the cover and still do not service it so the only choices here are used or a new complete air bag with cover