Adding 4 channel amp

Hello! I am looking for some guidance on my speaker setup & adding a 4 channel amp. Current setup is kenwood aftermarket radio (dmx4707), stock rear door speakers, Kicker 4ohm 3 way coax in front doors and kicker KSC270 4ohm 2-3/4" midrange tweeters in the dash. It's my understanding that the front door speakers and the dash speakers are wired in parallel so am I safe to run the current stock wiring to my 2ohm stable 4 channel amp? I've also seen people run new wire to the tweeters to power them independently and unplug the rear speakers so they're just powering the front stage. Any suggestions?