As far as I know, only the door speakers are tied to the ANC system.
Verify your wiring polarity on each speaker (to make sure they are all the same if you didn't use Metra type adaptors) - I've read that some adaptors are wired backwards (or incorrectly). You can also test if ANC is better if you reverse speaker polarity.
The Ram 6-speaker BASE radio does have all the door speakers wired with reverse polarity... not sure about the Alpine 7-speaker or the fancier 19-21 speaker version.
I have a schematic for the 6-speaker base radio that shows the polarity off of the radio and lists wire colors, but it does not designate what speaker terminal is positive or negative.
You could use a battery on the old and new speaker to determine what is + or -, then make sure the wires connect the same speaker terminals. When a small battery is applied to the terminals, the speaker will extend or retract.
Hope this helps!