The quote you posted says "Approach for a left turn shall be made in that portion of the right half of the roadway
nearest the center line"
You should read 257.650 of the Michigan Vehicle Code. It pertains to right-of-way, specifically for left turns.
257.650 Right-of-way; turning left at intersection; violation as civil infraction.
Sec. 650.
(1) The driver of a vehicle within an intersection intending to turn to the left shall yield the right of way to a vehicle approaching from the opposite direction which is within the intersection or so close to the intersection as to constitute an immediate hazard
I checked MN, WI, and MI, and all three states say that when turning left, you must turn into the left-most lane. When turning right, you must turn into the right-most lane.
Then in other sections of the code pertaining to right-of-way, all three states say that a driver turning left must yield the right-of-way to a vehicle approaching from the opposite direction which is within the intersection or so close to the intersection as to constitute an immediate hazard.
You should check both the laws for turning left AND the right-of-way laws, because rules for left/right turns are in a different part of the code than right-of-way rules.
According to California Vehicle Code...
VEHICLE CODE - VEH
DIVISION 11. RULES OF THE ROAD [21000 - 23336]
( Division 11 enacted by Stats. 1959, Ch. 3. )
CHAPTER 6. Turning and Stopping and Turning Signals [22100 - 22113]
( Chapter 6 enacted by Stats. 1959, Ch. 3. )
Except as provided in Section 22100.5 or 22101, the driver of any vehicle intending to turn upon a highway shall do so as follows:
(a) Right Turns. Both the approach for a right-hand turn and a right-hand turn shall be made as close as practicable to the right-hand curb or edge of the roadway except:
(1) Upon a highway having three marked lanes for traffic moving in one direction that terminates at an intersecting highway accommodating traffic in both directions, the driver of a vehicle in the middle lane may turn right into any lane lawfully available to traffic moving in that direction upon the roadway being entered.
(2) If a right-hand turn is made from a one-way highway at an intersection, a driver shall approach the turn as provided in this subdivision and shall complete the turn in any lane lawfully available to traffic moving in that direction upon the roadway being entered.
(3) Upon a highway having an additional lane or lanes marked for a right turn by appropriate signs or markings, the driver of a vehicle may turn right from any lane designated and marked for that turning movement.
(b) Left Turns. The approach for a left turn shall be made as close as practicable to the left-hand edge of the extreme left-hand lane or portion of the roadway lawfully available to traffic moving in the direction of travel of the vehicle and, when turning at an intersection, the left turn shall not be made before entering the intersection.
So far as right-of-way goes for California, the code states:
(a) The driver of a vehicle intending to turn to the left or to complete a U-turn upon a highway, or to turn left into public or private property, or an alley, shall yield the right-of-way to all vehicles approaching from the opposite direction which are close enough to constitute a hazard at any time during the turning movement, and shall continue to yield the right-of-way to the approaching vehicles until the left turn or U-turn can be made with reasonable safety.