Is it possible for my wife to sue me for abandonment, kidnapping, and theft for moving out with my children?

My wife and I had been married for 5 years. After discovering she had an affair, no intimate contact had occurred apparently, but it was an emotional affair with another man ongoing for over 3 months. I left on a Wednesday. She was out of town from Tuesday to Thursday seeing the above mentioned man. I moved out with my kids, and filed for a divorce. I have let her communicate via Skype or phone every night with the kids so far; but she has not physically seen them yet. At this point, she's threatening to charge me with theft of their belongings (since I moved out with the kids), abandonment, and kidnapping (I moved to the other side of town, but still in town). She has not been served yet as far as I know, though the courts do have a pending order and the process server has been elected to serve her and she is in town. I do not know if the process servers will serve her on a Saturday. She also states that I am violating the law by not providing her an address of the children, even though it is on the order I filed on Tuesday and she is being served with. I think these are all empty threats, but I wanted to double check. My attorney is currently out of office until Monday.