How do pilots fly an MLS approach?
Despite all the 'grand scheme' described in the documents you found and the fact that it is all possible, MLS development ran into a few development issues along the way.  The biggest was that it was extremely expensive to build for both the ground systems and the airborne receivers.  That slowed its development as its benefits over ILS weren't justified by the costs.  

One big benefit that your reference describes is that it actually allowed for area navigation.  Where ILS just gives you a deviation from a path, MLS gives you a 3-D position (Azimuth-Elevation-Range) that can allow for the RNAV paths.  But this was complicated and then the second big shift arrived -- GPS.  Since GPS gives you RNAV capability globally, why spend a fortune on something that would work only locally with very high infrastructure costs?  Based on this, the FAA pretty much abandoned MLS in the late 80's in favor of expanding GPS/GBAS/SBAS systems.  

Europe kept on with MLS work because they had a different issue with multipath interference to the ILS systems.  The effort though just focused on the final approach segment.  GPS/RNAV systems can handle the inital portions of the approach just fine.  To keep things simple, and to make them retrofittable into existing aircraft at a reasonable cost, the MLS receivers were designed to provide an "ILS Look-alike" output.  And to avoid dealing with new procedures and training, they kept the ground systems and approach design limited to ILS-Like functionality -- just with higher precision and less interference issues.

The US does have some MLS approaches, but they're mostly 'private' approaches paid for by the airlines that want them.  The FAA won't fund 'Standard MLS approaches'.

As a result, current MLS equipped aircraft can fly MLS approaches that are operationally identical to an ILS CAT III approach.  Most aircraft use a multi-mode receiver (MMR) that allows for both ILS and MLS approaches (and some now also support GLS).  The difference is that instead of an ILS frequency, the pilot selects an MLS channel.  Approach procedures (and the approach plates) are basically the same as an ILS, so crew training is minimal.  

So the answer is that today, you fly an MLS approach just like an ILS approach.