Great question Chris! This actually might be a question Dan would want to ask on the podcast...if you haven't already, please consider emailing it to him for the podcast at askDan@48Days.com.
I would normally say give the 2 weeks notice out of courtesy, but here it sounds like you are shooting yourself in the foot by doing that. Assuming you don't want to burn a bridge but know what is likely to happen, I would give notice the day after a pay day knowing that it's actually 1 week notice.
Worked at a place like that. Even worse they would sue you and your new company if they thought you were going to a competitor. When I left I deliberately went to a market that they weren't involved in. Just try to orchestrate the best exit you can.
Doesn't sound much like a place I would want to go back to anyways. I would probably do like John said and give notice the day after pay day. Or, if they are that unprofessional, I might think about just going home one day and not ever come back. I know, that's not exactly what one should do, but if you have already retained employment somewhere else, chances are they will be a bit more professional about it.
Your industry may be different, but as you mentioned, two weeks is typically considered a minimum. However, knowing the history of how you will most likely be treated, you could mention to your future employer that you might be available a week or so earlier than planned. In any case, handle your departure in a professional manner and let the chips fall where they fall.
I would have to agree with Chet, Christopher. You may just have to let the chips fall where they will. You could indicate that while you feel a responsibility to give two weeks notice, you have noticed that the company tends to let people go who do that and simply add that you would be more than willing to stay on for the two weeks and help either choose or mentor the candidate that will be taking your place.
Yes, they may still let you go, however, any company that chooses not to take advantage of an employees loyalty is not a company worth worrying much about anyway. It may be a shame for you to lose the income but a bigger shame for them to lose the assistance.
Good Luck and whatever you decide just remember integrity never comes back to bite you in the long run.
Dan answered this on the latest podcast.