^ No they won't not the ones who know what there talking about

Volume has to do with cone area, displacment, sensitivity, power and the frequency bandwidth you use them in.
OP Your door speakers maybe getting too much low frequency information and trying to produce sounds below there resonance frequency and distorting.
That amp you linked too the spec says 100w RMS per channel and will give you more volume.
I would recomend you look for a 4 channel amplifier with built in highpass and low pass filters. Then highpass filter your front components off this amp and buy a sub and send it the low frequency. This will allow you to have more volume out of the front speakers before they distort.