My approach to "hybrid" arts is a little different from what I've seen mentioned so far.
When I'm in class for a specific art, I train as the teacher instructs in order to understand the concepts and principles which make the techniques work and to develop whatever physical and mental attributes are necessary to execute them under pressure.
When I go to apply my skills outside of one of those classes, I'm not concerned with performing a specific art. I'm just working to solve a given set of problems under a certain set of constraints. I do that using whichever skills, tactics, body mechanics, and techniques seem appropriate for the task at hand. At this stage in my development as a martial artist I don't seem to encounter any problems with confusion over whether I should be applying this concept from art A or that mechanic from art B at a given moment.
When I'm in class for a specific art, I train as the teacher instructs in order to understand the concepts and principles which make the techniques work and to develop whatever physical and mental attributes are necessary to execute them under pressure.
When I go to apply my skills outside of one of those classes, I'm not concerned with performing a specific art. I'm just working to solve a given set of problems under a certain set of constraints. I do that using whichever skills, tactics, body mechanics, and techniques seem appropriate for the task at hand. At this stage in my development as a martial artist I don't seem to encounter any problems with confusion over whether I should be applying this concept from art A or that mechanic from art B at a given moment.