How could I have 67 security breaches in my iPhone passwords?!

no reason to be livid.. just go thru and start changing your passwords. Be happy that you're being notified of the issue.

and to note.. this definitely doesn't mean they were compromised because of your iPhone.

If there are that many listed, odds are you are using repeat passwords for many many things, which is not good practice

That tends to happen when you use the same password for multiple web sites and one of them gets breached...