Something to remember here, at least for the OP: ramping up the input level to a line driven audio PA once you hit the maximum voltage level before saturation will gain you nothing except distortion depending on the design of the input line level small signal amp and/or the input of the PA.
There are very well defined maximum voltage levels for both consumer and professional audio line levels and the link that btt posted explains this well. If the OP raised the voltage to the input stage of his powered speakers with little to no change to the output level then we are already in the non-linear stage of "goes-inna" vs. "goes-outta"! PA inputs will have a set level range to drive them after which you control the output with the PA's volume control.
So it sounds to me like his powered speaker system simply does not have the "oomph" to overcome the car noise. You need a heftier PA - more watts and a compatible speaker. No amount of ramping up the voltage output of the line driver in the P25RX will help past this point, rather, you may end up just overdriving the preamp/amp input of the PA causing it, depending on the design, to start adding distortion and/or clipping and/or reducing its input gain to compensate.
Find out what is the power output of the powered speaker and the maximum input level voltage of the line input. If you've already hit that maximum input voltage level on the peaks of the audio you pretty much are at the mercy of the PA's maximum output power. You just may need more.
Something else - you (the OP) mentioned a "amplified speaker with a digital filter" - exactly what are you using, make, model? Are these two seperate devices placed in line with each other, i.e. P25RX -> digital filter ->amplified speaker or is the "amplified speaker" a model that includes a built-in "digital filter"?
That "digital filter" adds another layer of complexity to the audio chain that has its own maximum drive levels - and you REALLY don't want to overdrive a digital filter! Digital audio filters are usually pretty picky about their drive levels and you generally have to maintain things within a well defined window at least as far as the raw levels into the A/D converter otherwise you get lots of wierd artifacts you really don't want.
If possible, try either removing or bypassing that "digital filter" and see what kind of results you get. Otherwise, I would recommend getting a higher powered amplified speaker - there are many out there.
But trying to ramp up the input line level past the normal maximum at this stage will likely gain you nothing (no pun originally intended).
-Mike