Yes, please do try to locate (or make) a new ground or be sure to properly address the ground location.
While your OEM speakers may well perform very poorly on lows, they could still create cancellation if allowed to play the same frequencies. Try allowing them to play full-range and you'll likely notice even less output in your upper lows or perhaps even a slight bump, though the quality of the added output would surely be questionable. If there is no cancellation between them whatsoever when allowed to play full-range, there should be no audible difference. But you're HPF'ing them and that's the best route, so I'd not even mess with it any further.
A standard DMM isn't going to provide the most accurate reading, but neither would a True RMS DMM, though it'd better. You can wire the probes of the DMM to the speaker terminals of the amplifier and play test tones while measuring for AC voltage.
While the method isn't an exact, there's a formula that is often used when using a DMM to set gains. Following such method, you'd be looking to get 17vRMS or so. Guess if you don't get but half that or something then you could well have too poor of a ground or some other issue. Given the DMM isn't likely to be the most accurate, you can play various frequencies within the subwoofer's range and see what they all read. Common belief is that most DMMs are most accurate around 50-60Hz, though I know not how much truth this holds. Still, if you were to find most frequencies measured considerably less than those around 50-60Hz, it could prove to back up such statements. I can sat I've really noticed such with my DMM though, seemed last I used it in such a manor, there was very little difference in measured output between frequencies.
Oh, and you'll want to make sure the EQ is set to flat and no boost are being used, this would obviously change the levels of various frequencies.
Let us know what you find.
Also, your old Kicker, depending on just how old it was, may well have produced near double it's rated power. And American Bass has had some fairly decent higher output subs. Image Dynamics tends to have better support/more of a following with their higher level models, though that's not to say the ID12V3 is bad. I've heard a set of older ID10's years ago that weren't to shabby for cheap subs.
You also said the enclosure is but 1cuft, so that will have an impact on performance as well. Adding some polyfil to it should gain you a little better performance. Add 1 pound to your enclosure loosely stuffed inside.
Sort of wish we knew the model number of the old American Bass sub and the Kicker amp, we could at least run it through WinISD and compare it to the ID12v3.