I have tried this same approach and ultimately found that I got either burned out/stressed out trying to squeeze everything in, or I would end up sleep walking through parts of the workout or body parts later in the routine would suffer b/c of overall fatigue.
I have something you may want to try, which I've been experimenting with the last month (since the birth of my 2nd child)...it's called Escalating Density Training. Instead of your standard set/rep/split routines, you have what are called "PR zones" which typically last 15 minutes. During these zones, you do two exercises only, and preferably opposing body parts (ex. bench press and pull ups), and you alternate back and forth, back and forth, doing sets of 5 (with a weight you can do 10 times). The goal is to get as many reps in in that 15 minute zone as possible. Each time out you try to get at least one more rep...if you can increase by more than 20% it's time to increase weight. Do some research on the net...the guy who came up with it is Charles Staley, a world renowned S&C coach. Since I've been doing this (3 times per week) I have added 5 pounds and I've actually lost some belly fat (at age 36, while drinking my share of beer). It is cool b/c I only do two 15 minute zones per workout, with 5 minute rest, so I'm only in the gym for 35-40 min max. This may not seem like much, but trust me...this is INTENSE.
Here's how I'm doing my workouts:
Zone 1 - Bench Press/Pull-ups
Zone 2 - Squats/Upright Rows
Zone 1 - Cable Flyes/Cable Rows
Zone 2 - Cable Triceps Ext/Cable Bicep Curls
Zone 1 - Leg Curls/Leg Extensions
Zone 2 - Dips/BB Curls
Give it a go!