I have a problem with my audio system?

here is my probleim i have a infinity amp that only puts out 6x10 rms and my head unit is a vr3 4x21rms i wanna byp the amp for my door and rear speakers and getting new sony xplods that are rated 50rms each speaker they are full range speakers. i have a vr3 amp witch is 2x50 and have a jbl lc-a752 rated 2x75rms @4ohms, 2x90rms @2ohms, 1x180@4ohms . if i wire it right it the speakers will come to 4ohms 2x200rms bridgeing it if this works will i be able to tap of my vr3 amp to my jbl like power, remote,ground. and would this work or am i just a idiot but i have no choise my regulers speakers ar blow and the oem amp is 6x10rms and my speakers are all blow oh and the vr3 has to rca one input , and one output and i wanna try hook all this to the jbl amp my vr3 is hook to 6x9 in my trunk contact me at vipcrunked@gmail.com for more details