Only my personal opinion, but I think you're doing too much.
I combine my sessions and only hit the weights 3 days a week with cardio in between.

I swear by 5 x 5 training, and if pure functional strength is your goal then that is the way to go - 1st 2 sets just being warm-ups to warn the muscle you're coming for it, the last 3 are the ass-kicking, all out balls-to-the-wall working sets.

How I work it is:
week 1 Monday and Friday - squats, back, shoulders
Wednesday - deadlifts, chest, arms

week 2 Monday and Friday - deadlift, chest, arms
Wednesday - Squats, back, shoulders

As soon as you can hit a weight for 3 x 5 on the working sets progress - YOU ALWAYS WORK TOWARDS PROGRESS!!!! Without progress its meaningless.
concentrate on the compound movements - deadlifts, squats (the best exercise ever invented, IMO) presses (bench, military) pulls - always heavy, always mean!!

Work bottom position exercises for strength progression, after the main workout each day do auxilary work (calves, abs, forearms, wrists, hands) Set special time aside for grip work, without strong hands, wrists how will anything else get stronger!?

Blast your core!! heavy, heavy situps and crunches. a strong core is SO important to all around strength, just like a strong grip!!

EAT! 2000 cals of solid food w/whey protein and creatine.

learn to hate the bunny rabbits who go to the gym for just a pump, and to look at the girls - this training will not get you anywhere.

Make the power rack your best friend. All I need is my power rack, a bench and weights and plenty of water, man.

Do this and come back and check yourself in 3 months! Train like a dinosaur and be a hard ass!!! I promise you'll love the results.