Hi there!

I think that it's quite possible that your insulin resistance would get better after a while. It's not that your insulin isn't strong enough; it's that your cells have become immune (or resistant) to it and therefore need more and more to get the same message as before that blood glucose needs removing from the bloodstream.
Having said that, don't kid yourself into thinking that after being on Atkins for a few months and/or reaching your goal weight you can go back to eating like you did before. If you did, your insulin resistance would be back before you knew it and with a vengeance. It's likely that those with insulin resistance will always have to be on some level of carb restriction.
The level of carbs you can eat once you reach your goal is going to depend on a lot of things. One important one being how much function your pancreas still has left and how much insulin resistance you still have.