Full range front speakers w/ 2010 JBL

I have a 2010 DC with the JBL system. I want to replace the front door speakers with some infinity kappa 6x9s. The JBL system system seems to run separate wires with high range to the door tweeters and low range to the 6x9 in the lower door. Is there a way to run a full range signal to the 6x9s and keep the JBL tweeters? When combining both of the wires from the amp it sounds like crap. I'm guessing because by doing that the ohms get screwed up. I don't know a whole lot about audio stuff so be gentle.

Thanks!

PS I did search and try and find the answer.

 

When I hooked up the wire from the factory 6x9 to the new 2 way 6x9 I got nothing but bass. When I then added the wires from the tweeters to the 2 way 6x9s I got full range but It sounded like crap and was poppy. Im guessing an impedance thing. From what I saw in the wiring diagrams from some other posts there are 6 outputs from the factory amp, so I am thinking the crossover is in the amp?

Thanks!

 

So I read a few more posts and I understand you can cut and splice the tweeter wires to get the signal to the main speaker. Most folks are adding components and thus adding new tweeters in the factory location. How does this affect the handsfree? It seems like when you go to a call using the handsfree bluetooth the only channel that is on is the drivers tweeter. If you clip and splice this does it still work?

Thanks!