active bridge/passive neck?

Its not going to damage anything but your tone pot will be the wrong value for the active pickup. You could possibly use a resistor. What I'd do is probably bypass the tone for the bridge pickup. So you'd have vol and tone for neck and just the single volume for the bridge.

 

It'll be very close to having the tone knob at 10....maybe a little brighter and louder depending on the value of tone pot you usually have in there.

 

it'll indeed "work", as long as the passive pickup doesn't go through any of the "active" (25k) pots. use the passive (500k) tone pot as the master tone. doing this wrong won't damage anything, the passive pickup will just sound like weak, muddy ass.

done right, you won't get any kind of blend with them both on (the active will take over) but each will sound fine by itself.

 

Other than the pot disparities the only problem I see is the difference in output.
Which is a problem I deal with with passive pickups, it is tough to get the neck output to project on stage when switching from the bridge to the neck, I can imagine with the bridge active and the neck passive that could be an even bigger problem.
Invaders are almost all midrange output and are pretty hot, so likely there won't be that big a disparity in output.

 

there are no active pickups AFAIK. EMG and other similar pickups are completely conventional coil/mag arrangements with a very simple preamp gooped inside the cover

you can add a similar pre to any pickup - just copy any one-stage booster or buffer and voila, "active" pickup. if you want the sound of EMG 81 et al, buffer each coil individually and mix the signals afterward

i.e. simply copy this and run your neck pickup through it: http://www.till.com/articles/GuitarPreamp/