The setup would be:
Amp = Alpine PDX-5 (5 channel amp)
Speakers = Rockford Fosgate R165X3 6.5
Subwoofer = Polk DB+ 8” (SVC 4 ohm)
Will the amp blow the door speakers??
You will need to be mindful of breaking them mechanically if you attempt to run them full range. On smaller components/coaxials power handling is generally mechanically and not thermally limited first. I'd expect the speakers to survive if you used HPF from the amp or your head unit (if it has one). 80hz is typically a good place to start then you can dial it in from there.Will the amp blow the door speakers??
Good branded speakers often do outperform their rating, but it's not a reliable metric. The reason almost every speaker fails is heat, dirty power (distortion) causes heat, that's true, but there's more that goes into it. It can play one song just fine but blow on the next one depending on the frequencies. If you think of the cooling method of a speaker it uses vents to **** and push air over the voice coil. If there's less movement there's less cooling. The worst situation is where it clips, this means that despite putting more power into the speaker, its excursion is halted at the peak of the wave and no venting is taking place. In this case there's a decent chance it'll be fine with most songs at that elevated power, but if it hits a low note I have no confidence that it will be able to a) avoid overexcursion with a recommended enclosure (ported) or b) be able to vent away more than its rating in heat with an air dampening setup (sealed).I would think you should be fine as long as you set the gain properly. I have not learned much since the Car Audio and Electronics magazine closed up shop but I have always heard that distortion is what blows speakers. They tested an 8" JL Audio sub with, I think it was an Earthquake amp, that was rated at like twice the power of the 8" and it played fine. Understand that this was back in the mid 90's though. Recently I watched a video of a subwoofer burn its coil out from shear power. Back in the day the largest amps we had made 1000 watts maybe on 14.4 volts. This was a Rockville sub on a 1500 watt amp I think. Anyway, the point is, with normal power and the distortion avoided I doubt you will have any problems. Don't play pink noise at max volume and max gain though.