Which to Upgrade first? My Amplifier or Speakers?

Gentlepersons
Thank you all for your responses.  The diversity of viewpoint, science  and opinion has been interesting, facinating and entertaining.  Some of you sent me to the dictionary; others to links with your recommendations.  Some introduced entirely different avenues to attack the issue of improved sound.  I wanted to respond to each as they came in and have individual dialogue, but I see now that you just hit Respond and address who you want to talk to for the whole crowd to read.  Regardless, I do want to thank you all for taking the time for your feedback to my question.  Very cool!  But, back to business.
The entire point of my original issue is, I love what I have and know it is good.  But, like many of you, I'm looking for the next next step up to improve the quality of aestetics - or like Robert Harley conveys, go for the purity of sound - you want to feel like you're there with the musicians (or a concept to that effect).  That is a pretty high standard and I may never get there - but damn I'm loving the journey as I know most of you do too or you wouldn't bother responding to a post from a novice like myself.  
One of you asked about the rest of my system in order to better respond to my original question.  My original post had a typo in it.  Instead of a McIntosh MP 100 (phono pre-amp) I actually have the 1100 model (8K) which is night and day better.  I've played nothing but vinyl since I got it a month ago. I also have the Kandid cartridge for my Linn Sondek turntable.  I have a subwoofer from REL Stadium II (rebuilt entirely 2 years ago).  The reason I have a multi-channel amp now is because I have a home theatre attached to it.  Maybe some day I'll have a dedicated room for sound, but not yet.  My Pre-amp is a McIntosh MX 121.  There are no treatments to my living room where the system is - though I have a 15 foot ceiling and about 20 x 30 room.  I don't own the place so I'm not investing in treatments, though I got it guys, that would make a world of difference. 
Happy Holidays to the list..
          

"I have a 15 foot ceiling and about 20 x 30 room", Norm .... I hate you already.
This IMHO is the perfect size for an audio room, especially the ceiling height. There's a cavet here though; high rooms have an inherent eco. A coffered ceiling with tile inserts would solve the isssue (hey, it's only money, ya make it every day). But as you say you're not the owner.
Also treatments tend to be NWF, so may I suggest a draping. You can hang drapes with dowels .... what ever. One guy I knew center hung a parachute with a good result. Grant it that's not everyone's cup of tea, all I'm suggesting is that there are creative, decorative, cost effective ways you can use to mitigate your accoustical issues. Fact is you have an oustanding system there, so to take it to the next level it would appear is to tackle the room nemesis.

You may also want to audition the Logan's ;-)

The horn
LOL.  Nice to know about the room size.  I've been here 16 years, but plan to move soon.  I'll look for that high ceiling.  My wife would leave me if I even suggested a parachute from the ceiling - but I got it on the echo quality.  I do have some buffer around that tampers it a bit. 
This group continues to amaze me.  Thanks for the feedback.  

Norm,if you are going to have higher ceilings hold out for 8 or 9 foot tall Sound Labs. More powerful, larger sound stage, less distortion.
I love Maggies in smaller rooms but the fragility of the tweeter limits output so they can get lost in larger rooms. Arrowhead is right. If you are in a smaller room say 14 X 20 X 8 a larger amp will work miracles on the 3.6's. Mono amps are always an advantage because you can park them right behind the speaker keeping the speaker wire real short. It is better to run long low level signal wires. Balanced is the best. 

I'm usually a speaker first individual, but I like your speakers so much more than your amp.

bdp24 and erik_squires posts just ring true with good advice.