OK, I'm back. First let me say WOW what a nice amp that Alpine is! I'd like to have that myself.
Here's what I found out. You have a set of Memphis coaxial 2-way 6.5" speakers with swivel tweeters and these speakers have separate crossovers for the tweeters. You need to use these crossovers to feed the tweeters only the correct frequencies. Without them it will damage the tweeters. By the way, swivel tweeter means that you can angle it so it points more towards your listening position for the best sound possible. I could not find any information on the wattage handling of these speakers, but the Alpine amp puts out a nice amount of wattage that should not be too much for these speakers to handle.
The Alpine amp is a 4-channel amp that puts out 55 watts per channel RMS on a 4 ohm load, which is what most speakers are rated at(yours should be as well). This is really good. Don't know what the PEAK wattage is, but it's unimportant really. I would recommend running the Memphis speaker on the front channels of this amp. This amp also has a subsonic filter on the rear channels @ 15 Hz. The amp's specs said this was for filtering noise at the sub-human-hearing level so that it doesn't eat up power output in the form of useless energy. You wouldn't hear it but it makes it more efficient so to speak. That's just a nice quality in the amp, but doesn't affect how you use it. I don't know if you are using any rear speakers or not cause your post didn't mention them. But you could run another set on this amp, or you could bridge the rear channels and run your sub on them. The amp has a built in crossover that is variable from 30 - 400 Hz. If you use it on the sub, then use the crossover set at LP or Low Pass so only bass goes to the sub, and no treble. Set the crossover frequency to what sounds best to you, but I like about 60 - 80 myself. Depends on the sub.
Speaking of sub, you didn't mention anything about it other than it's an Alpine. Is it a 10 or 12 or what? How many ohms? That affects the way you hook it up, so we need to know that BEFORE you connect it to any amp.
The other amp you have is a Kicker 200.2 and it is rated at 100 watts per channel at 2 ohm, so it should be 50 per channel at 4 ohm. You can bridge it into a 4 ohm load and get 200 watts into one subwoofer. Kicker's website did not say if this is RMS or PEAK wattage, but I would hope that this is RMS. If not, then this is a small little amp and not worth a whole lot to run a sub. It can do pretty good, but there's definitely a lot better out there. I liked the Alpine a WHOLE lot better. Also, the Kicker amp has a variable crossover from 50 - 200 Hz. Selectable from LP/HP/Full, which is just whether it is low bass only, or only highs like midrange and treble, or full range which is everything. You just select the frequency you want it to cut off at. Same with the Alpine amp's crossover.
All in all, you have the makings of a modestly nice system. You could just use the Alpine amp to power the front speakers, and your subwoofer, and run the rear speakers(if you have any) on the Alpine deck's speaker outputs. Or use all 4 speakers on the Alpine amp, and use the Kicker amp to run the sub. If you use two amps with all channels used, then you will need at least 3 pairs of RCA outputs on your deck. If the deck doesn't have that many, then you can use a RCA splitter to turn one RCA into two. You'd need two of these so as to make a pair of RCA outs into two pairs. I wouldn't recommend splitting the signal more than one time though(so I hope your deck has at least two pairs of these RCA outputs). If it doesn't you may want to think about just using only the Alpine amp and forgetting the Kicker. Or getting a line driver to help with the voltage output on the RCA's coming from the deck. You could split one pair up into three pairs(I don't recommend), but splitting it up too many times degrades the signal the deck sends to the amps. That's why I don't like to do it. What model of deck do you have?? That may make a difference here. I'd like to check that out too.
audeogod
92 Chevrolet Cheyenne 1/2 ton truck
Pioneer DEH-41
Eclipse 2-way coaxial 4x6's in dash
Eclipse 3-way coaxial 6 1/2's in doors(cut to fit)
Pioneer GM-X332 amp bridged to Kicker 8" sub