I'd run a new high frequency wire from the existing tweeters (I assume the nearest ones are the dash speakers, I don't have one in front of me at the moment) to the new tweeters. This means tapping the existing line, and running a new wire through the door penetration, alongside the existing subharness.
Crossovers are meant to do the frequency splitting; you already have that done for you. If you run the high frequency signal through the crossover to the low frequency (woofer) speaker, you've lost signal before it gets into the speaker.