Continuous duty solenoid! Pretty much the only way to do what you want with the switch wired like NHRA wants it (B+ side).
It gets wired it between the alternator charging wire and the cutoff switch. The solenoid operates only when fed B+ from the battery and allows the alt to charge the battery when it's on. But, when you throw the switch it shuts off the solenoid thus stopping the charge circuit.
They are like $50 or so and can handle a lot of current. They look like a Ford starter solenoid but are slightly different.
I have the Denso alt. too, this setup works correctly. It was a pain to figure out, was very confusing to me at first but once I realized what the solenoid does it all made sense.
The CD solenoid is the chrome one on the left.