DITTO DITTO DITTO to Julia!! and Alex. Comparing your children to anyone else then themselves is a FAST and SURE why to shut them down. If YOU can't see the Wonderfully Amazing parts of them, THEY won't be able to see them either. If they don't see anything fantastic about themselves they'll feel NO NEED to try--because they're bad and being bad is what they will always be so why frustrate themselves trying to be anything else?? KWIM??
You may not like this idea BUT why don't you see if your state has K12 there. It's public school AT HOME. Now your intitial thought may be that you don't think you can handle it--you know with irritating boys, HOWEVER; there is STILL an outside teacher involved so you're not doing it alone and there are benefits for the children being able to calm themselves down and minimize negative influences that I'm certain you don't have any idea about (because the little turds--teens in general--are experts at secret keeping and diversion).
I bring this up because my daughter was not doing ANYTHING at all in school...she just gave up completely on herself. She allowed herself to believe she couldn't understand and that she'd mess up on any attempt; therefore, in her mind, it was better not to do it at all. For her, the price of Mom being disappointed in her was cheaper than the price of feeling stupid.
I found out about the K12 program: www.k12.com and it has been a COMPLETE turn around!!! She has to do her work before she can play with friends but I allow her to choose what subject she wants to do; if she wants to start with math today or history or whatever subject, it's her choice. She has gone from not trying anything at all and have 60 missing assignments in January, to choosing to do her school first thing in the morning by herself in whatever routine works best for her and passing her assessments with %100 mastery almost ninety percent of the time! She LOVES it.
I told her I was considering this before I made my decision. I gave her an opportunity to figure it out at school, but when it looked like she was in a whole too deep I pulled her out. FOR HER, this was the BEST thing. She was drowning in a situation that wasn't conducive to her learning and she felt so much pressure that when she'd come home, life here was PAINFUL. This girl is SO MUCH more pleasant and productive. She still doesn't enjoy chores BUT she DOES THEM. She really likes having her afternoons and evenings free.
You may want to try that with one or both of your boys. It could be that their behavior is feeding off one another and splitting them up in the day and social scene may make a possitive difference.
Dr Laura would say Military school if you're not showing to be affective at the authority position. Also, she'd ask what Dad is doing to put the fear of all things into their hearts for being so disrespectful. She's also ask: What are their true callings in life? What is they were put on the planet to do?? Find and Foster THAT. For Bill Gates it was computers and networks, for Micheal Jordan it was basket ball, for Socrates it was philosophy and public speaking, for my husband it's military service because he's a giver and protector, for me it's nurturing so I'm a mother of many and a doula...find what they LOVE and foster that by molding their experiences to assist success in those areas.
In anycase, I HIGHLY suggest getting "Always An Ally", which I believe is the BEST book ever written about relationships of the parent/child variety specifically. It's a paper back and very easy to read. You can find it here: http://www.alwaysanally.com/
While this behavior is typical is some fashion, you do NOT have to allow it. You are well within your rights (and responsibility) to use corrective behavior of your own. Just pay attention to if it is beneficial or not and be willing to modify without giving up. "It's a war out there" <wink>