I think it is actually a good situation that your wife and children are not very far away. Its also good that she has now spoken with you.
It sounds positive that at the moment you will be able to skype with the children. Since Friday, she has left with the children to her sister’s, taken time to “settle” herself, responded to you, and now ready to set up a skype chat. That sounds like a lot of positive movement.
Deciding to get a court order to be with your children could sound like a good thing in many situations…but… As your situation is moving, it sounds as if it is a drastic step that could possibly cause your wife to become more strong in her desire to legally separate and divorce. (That is only my opinion - based only on my thoughts about what you have shared.)
I say that because she seems to be responding positively to you at this point. She even has a plan for you to chat with the children. If all of this has transpired since Friday, how much more positive changes may take place as you and she work together?
By bringing in a court order - seems to me - she might not want to work with you any more - it might change her positive movements that she has made to very strong opposition to you - while at the same time meeting the court order to allow you visitation.
Give her time to adjust to whatever caused her to need to go to her sister’s and to not being at home with you. Pray. She most likely will begin talking with you again.
It is true that children need both parents. In the case of a divorce or separation, I’m sure you and she will see to it that the children see both of you. For the short time you have been apart - since Friday - it is okay for the children to not see dad for a few days.
Maybe speaking with your parish priest will be beneficial. He can lead you towards how to reconcile your marriage. I don’t think asking for a court order to see your children after 48 hours of them being 8 blocks away with your wife - would look like you are reaching for a goal of reconciliation.
Invite you and your dear wife to
Retrouvialle. Contact someone at Retrouvaille to speak with them.
retrouvaille.org/
May St. Raphael pray for you and your wife.