The "added alerts" for me are not a problem because they do not actually make any alert noise, pop-up text box, etc. on my computer (the calendar events I set alerts for do work).
Sometimes these alerts show up two ot three times on an event.
Sometimes the alert will be set for thousands of minutes into the future, which would never bother me if they worked anyway since I delete all past events (I do not remember the exact number of minutes since I cleared all those alerts).
I try to turn off the alerts but they return after iCloud syncs.
I'm not sure if this is a problem that the user can fix with a setting change (although there are a lot of them to deal with on all devices and are a bit confusing, especially if you add in Time Zone support). I'm hoping apple will come out with a fix for this in a SW update. Unfortunately the last Mountain Lion update (10.8.1) did not include this bug fix, so maybe it's it's the iPhone iOS (5.1.1) that needs the update to accomodate the new Mountain Lion OS??? I hope Apple finds the fix and offers an update, instead of waiting for a new Apple device to offer the new OS...