Let's say the majority of companies in the industry adopt a specific strategy, technology or method X to achieve their core business targets and it works just fine and is recognized as the industry standard.
I spent most of my recent career working on (and with) method Y, which is known to be much more advanced, but which only a handful of companies have tested, because most are still wary/scared to adopt it. My experience with Y is also proof that Y works and even multiple times better (more efficient, productive, profitable) than the standard method X. Few good industry experts are aware of this, as well as only the most up-to-date hiring managers.
I am also convinced that method X will be obsolete within very short time and it would be in the best interest for companies to switch to Y ASAP. I am sue many will decide to implement innovations soon, and I have strong experience in implementing the system, rather than just operating it.
However, the majority of vacancies in my field/function still require experience with method X as one of the core aspects of the role, and it is extremely unlikely that HR people and average hiring managers would be able to tell the benefits of Y over X - let alone recruitment agencies!
In other words, in addition to selling myself at the interview, I need to sell this skill/method/technology/strategy in order to meet the criteria.
How should I best approach a situation like this? Should I persuade with numbers and benefits? Or focus on how my experience matches with the job spec? Should I keep the topic until the end of the interview or elaborate on it on the resume?
Edit: My current company also used X in the past and I was an employee long before Y was implemented. Thus, having seen and evaluated the results of both, and the changes thereafter, returning to X is truly like a return to the Stone Age :) I am absolutely confident that Y will work in any company. It does involve change; heck, it involves reorganizing not just one team but several business units, but I have managed that process and feel that going back to X would also be a downgrade to my own career. Maybe I could rephrase my question as: How can I find jobs that involve business-wide innovation, or which are open to such innovation?