I love the deadlift and I feel it is a must in a program. I love the back squat and feel it is a must in a program. I love the front squat....
To many excercises, to little time. I think all of the lifts you mentioned are good and worth including. However, you can't do them all at once. If you try, and include PT in the mix, you will soon be overtrained and either burned out or hurting.
So here are a couple suggestions.
1) do them all. Day one, squat heavy, SLDL light. Day 2, DL heavy, front squat light.
2) Do one group of lifts for 4-6 weeks, then switch to another. You may find, for example, after 4-6 weeks of not back squatting, doing front squats and deadlifts, when you return to squatting it is stronger.
3) this might get a little complex, but drop the weekly program mentallity. Plan your program around 10 or 14 days.
No, you don't need to deadlift and you are not shortchanging yourself by not doing it. There are plenty of other lifts you can do to substitute. But, in my opinion, it is a good lift, and is worth including at least every other week.