Day One: back, shoulders
Day Two: all legs, obliques
Day Three: chest, shoulders, back, arms

I don't like it either for some reason. It can probably tweaked and work, but the mix of exercises, as Foreman said, can use some work.

Firstly, it's very difficult to do two variations of the deadlift and two variations of the squat in one day with any kind of intensity. Secondly, you probably need more rest. Thirdly, it seems like you have almost everything important all crammed into one day.

Try something like this:

Back squats, rows, chin ups, obliques

Deadlifts, military presses, calf raises

SLDLs, benches, dips, curls

Front squats and hack squats can be rotated with the back squats.

I'm not saying to do this routine, but it would be a more sensible grouping of exercises. Hopefully you see what I mean - don't overwork any one type of movement too much in one day. Your form and/or intensity will suffer, and that's not a favorable effect for strength training.

Also consider periodizing (conjugate, undulating and linear) and using other exercises that will really help if you're truy serious about strength. I'm talking about heavy core and grip exercises in addition to these. Consider farmers walks and the implementation of heavy bags, barrels and other awkward objects to build your stabilizers.

So your saying do a full body workout each workout? Only planning on taking 1 day off between workouts, would this be enough time for muscles to heal?