I foresee two problems for you:
1)The volume you get from each amp may be different, so you end up with too much or too little bass.
2) An amp designer I know calls this "fools bi-amp" and believes that driving an amp full frequency range and using only part of that frequency range causes audible problems, esp. for the tweeter amp as there is a lot of energy in the bass frequency - which the tweeter amp isn't getting rid of but IS trying to produce.
Get yourself an active crossover, even a cheap one for now - you can always upgrade it later - I REALLY recommend this as a major gain.
Worst case, a good car one can sound OK for now - I have seen one powered by a spare car battery that was re-charged every couple of weeks!
Do some homework about cross-over slopes, use the same slope (1st, 2nd, 3rd or 4th order, also sometines refered to in dB per octave) and crossover point as the crossover in your speakers.
You can also get different alignments, I would reccomend Linkwitz-Reilley.
Don't worry about mixing amps, as long as you think the sound character is simmilar at the point where they will cross over.
I use VTL 100 monoblocks (tube), crossed over at 400 Hz to New Zealand made mostfet 250 watt per channel then to a 215 wpc mosfet parasound in bridge mode at 80 Hz to drive the sub.
This is using an active crossover. Nobody has ever commented on the mixture of amps and some people into live and studio sound professionally have been unaware they were listening to a multi-amp set up - when told, they were not suprised as they thought it "sounded too good for a passive cross over".
Only in "hi-fi" do people seem to insist on using one amp full range.
Not only does it make an amps life hard, passive crossovers are a nightmare. Expensive (VERY) to do well, hard to drive and they consume a lot of power that never even gets to the speaker drivers!!!