The bike lane is called a “bike” lane because it is for bikes. It is not called the “right side of your car” lane, so keep the right side of your car out of it. If you don’t know where the right side of your car is, perhaps it’s time to consider buying a new, smaller car.
The bike lane is also not a super secret passing lane, unless, of course, you’re on a bike passing all the suckers in traffic.

