OP - You could- run the tweets on one set and the mids on another set and use the amps xover settings to set you xover parameters but it wont be as good as using a 3 or 4 way electronic xover unit.
The EQ usually has Front output / Rear output / Sub output...
So your talking about taking the front output and slpitting with a 'Y' splitter to the amp just so you can hope to stimulate an active setup. ok well good luck. Your going to need to be more percise than that. An electronic Xover will give you a way better control of the frequencies going to your amp. Then when you take your outputs from the xover and connect to the amp, it would probably be highs on channel 1,2 and mids on channel 3,4 And you would still need to run a sub amp .
The EQ will give you a better control when you use it in conjunction with all the above mentioned. Plus, most EQ's have a high voltage output on the RCA so instead of getting a .5V to 2V from the deck, then trying to power two amps, you could potentially have up to 10v preout. and that would be more efficient.
There is alot of things involved, but that should give you a better idea.