Seems that you are working very hard to keep your daughters a priority in your life, and I commend your commitment to them. I know that you are facing a number of challenges as you negotiate co-parenting with your ex-wife and wife, but I believe that you are already off to a good start given the love and dedication that you bring to remaining an involved father.
 
Now, the hard part. It is crucial that you and your ex-wife develop good communication for managing parenting and discipline of your daughters. Depending upon the level of comfort that your ex-wife and wife have with one another, you may consider a meeting with you and your ex-wife, or with you, your ex-wife, and your wife. If your ex-wife and wife are not comfortable with each other, you may choose to meet first with your ex-wife to discuss your approach to discipline and parenting.
 
Of critical importance is that rules are the same (or at least comparable) across households. It really is to the benefit of your daughters if there is consistency and agreement between the households. This includes rules for bedtime, use of the phone, internet, etc. Decide on some basic rules and commit to sticking with them. Determine what the consequences will be for breaking the rules.
 
If it is impossible to come to an agreement independently, I agree with Kat's advice below. You may need to bring in an independent party to help facilitate agreement on parenting practices. Really, the bottom line is that everyone needs to take a big, deep breath, and keep in mind that this isn't about hurt feelings or past transgressions. This is about two lovely daughters who need some good parenting during the often difficult transition to adolescence.
 
Finally, one more word about your important role as a father. Although your daughters will continue to need you more than ever (see the link before for more information on the role of fathers), they will be pushing away from you at this time. As girls transition to adolescence, it is normative for them to want less physical and emotional connection with their fathers. The father-daughter relationship needs to be renegotiated. You might follow-up with a book or two on the topic: Strong Fathers, Strong Daughters by Dr. Meg Meeker or What a Difference a Daddy Makes by Dr. Kevin Leman.
 
Good luck!
 
L. Compian, Ph.D.
Counseling Psychologist
Education.com