Oops sorry I see that you mentioned squat.
For Hip Dominant, there are a lot of exercises to choose from other than just Deadlift. There is King Deadlift (one legged), RDL (done kind of like the deadlift, but the legs are just slightly bent and you go down until you feel a stretch in the hamstrings and then back up again), Pull Throughs, Good Morning, and there are more that I may have not mentioned in here. I am not sure if Leg Curls and Hamstring Plate Drags are considered hip dominant though because they are both single joint.
If you do not include hip dominant exercises, you will go into anterior tilt. I have anterior tilt and I am working on getting rid of it now. Too much quad dominant work will tighten up the hip flexors and put you into anterior pelvic tilt.
I recommend reading these 2 articles on Deadlift and RDL form. They can be done with barbells or dumbbells.
http://www.t-nation.com/readTopic.do?id=1588392 Mastering the Deadlift by Eric Cressey
http://www.t-nation.com/readArticle.do?id=1502753 Perfecting the Romanian Deadlift by Mike Robertson
