Your homeowner's insurance will defend and indemnify BI or PD arising out of an occurrence (accidental). Most policies will respond to the insured protecting his property or life. It will not however provide a defense for criminal charges.
No policy is going to cover liability arising out of intentional acts.
Very few have an exception for self defense. If you know of a carrier that has a self defense exception to the intentional acts exclusion please let us know what carrier would cover this.
You would be hard pressed to show that your shooting of a perp breaking into your car was accidental.