how to bring into full play what was prepared during faculty interviews
Don't overthink it. 

In a skype interview, you're right, it is mostly their questions. Answer them directly, and maybe keep 2 points in mind that you really want to make when they give you a chance to lead the conversation for a few minutes.

For on-site interviews, it's a long day or two, and you'll have plenty of opportunities to say the things you want to say.

I suggest you trust that the important things will come to light during the interview. If you forget one or two things you wanted to say, that omission is very unlikely to determine the success or failure of your interview. The overall picture that the department gets of you is much more important -- is your research strong? does it fit well with the department? will you be a good teacher? a good colleague? I suspect that the "rehearsed lines" will be less important, in the scheme of things.