The Engineer who has lead the fight against Bike Lanes:
http://www.johnforester.com/
His book on biking: "Effective Cycling":
http://books.google.co.nz/books?id=aBfyXQ8EeLUC&printsec=frontcover&dq=isbn:0262516942&hl=en&sa=X&ei=HQ2UUaLDJOLkiAfwwYHwCA&redir_esc=y#v=onepage&q&f=false
Another report on Bike lanes, and why they are BAD:
http://www.tpg1.com/protest/city/nobike/van_bikelanesbad.htm
San Francisco police are telling drivers to enter the BIKE LANE first, then turn right (This appears to be also the position of the Washington DC Police):
http://www.sfbike.org/news/bike-lanes-and-right-turns/
Diagram on how to turn right if a bike lane is between you and the edge of the road:

Notice in such situations, the cyclist is to get into the traffic lane and pass the car on the LEFT.
Paper on Bicycle "Blunders":
http://labreform.org/blunders/index.html
The problem you are facing is that Cyclists ASSUME that since they are in a bike lane, their have exclusive use of that lane. That is NOT true, Cyclists have exclusive use EXCEPT when a car is turning right, then the car MUST enter the bike lane and the cyclist pass the car on the left.
General rule is, except when the vehicle is parked, stopped etc, you pass on the left. This applies to Cyclists as while as drivers.
If you do NOT have the room to cut in front of the cyclists and then enter the bike lane, you travel behind the cyclists. If you do have the room to pass the cyclists and then enter the bike lane, you do so. Distances are hard to judge, for cyclists, like automobiles, often travel at different speeds. If you have a cyclist going at a good clip, you may have to follow the cyclist a couple of hundred feet. If the cyclist is going slow, you may have more then enough room to cut in front of the cyclist before you have to enter the bike lane to turn right. It is something you learn with experience, like anything else.