L.M.
I agree w/ equal parenting but I do not agree with equal physical custody. Let me explain...I believe that both parents should be equally involved with raising their children, parenting, attending events/activities, and sharing all the responsibilities but if the parents aren't together I don't think that means equal physical custody. I believe that in an effort to be fair to both parents, courts have started awarding equal custody orders so each parent gets equal time and no one has to pay child support. In theory, it sounds great because neither parent gets more time and neither feels they are paying the other's bills but realistically it is short changing the child/children. The child is never settled and their environment never stable. The child gets shortchanged and forced to do what is best for mom and dad rather than what is best for them (and many times the parents don't like the arrangement either).
You can have shared legal custody with one parent having placement...that allows equal say but the child has a home. The parents have to learn to step up and co-parent for what is best for their children. In my opinion, that means that if mom has placement and dad has visitation, dad can still attend school functions or sporting events even when it isn't "his day" and mom can do the same even when it's "dad's day". The visitation schedule just dictates who has the child at a particular time and is the responsible party. It does not mean they can not swap or work together and it doesn't mean they have to be cut off from their child at that time.
I have seen kids get bounced around every other day, every third or fourth day, one week at a time, one week at a time w/ one day with the opposite parent each week, and/or any combination of this. The kids suffer and the juggling act is difficult.
I would think the domestic violence would definately weigh in your favor but I am in DE so your laws may be different. My advise is always make everything about doing what is best for your child (not what is easier for you or him) and be realistic. Ask for more than you want so you can compromise without losing too much ground. Also, think ahead and plan....she's an infant now but what happens when school starts (are you in the same district? if not, who decides what school she attends? How will you handle extra curriculars etc? Religion...is it important to either of you? If so, are you on the same page about the religion she is raised in? If it is settled now, you will likely have a much easier time.