Introduce an 'automatic rescheduling' option to Timing and Reminder.
This would introduce a 'flow' to linked tasks similar to MS Project in that the start date/time of the dependent Next Action is automatically calculated by way of the current task Due Date plus Dependency Delay or because it is in a sequence of 'Complete in Order'. Having a way of turning this OFF for some tasks via a tick box prevents a universal updating which may not be helpful.
As a slight enhancement to this, another suggestion is to use the 'Effort' Min/Max time to remove 'float' from any sequence of activities by reducing the time between Start Date and Due date to Max Effort. Mindmanager can do this already. But this would have to be done via an Task | Advanced menu function and would require the introduction of Start Dates/Due Dates as being No Earlier Than or No Later than.