Actually, now that I have given the pictures a second look, it doesn't seem like a very big deal (as far as can be judged from the lazy chair).
If you just ride on the left side of the bike line then you will end up in the middle of the right turn lane when the bike lane ends. At that point cars coming from behind have to break and stay behind you.
So it might get you out of your comfort zone of always hugging the right side of the road, but safest way to proceed is to not let you be pushed to the side so that it becomes easier to cross over when the bike lane continues on the left.