We are in the same situation and the only way we have survived is having everything documented down to the letter and providing it to the court. Do you have an attorney and if you don't you need to file a counterresponse with your evidence. This way it will be in the file. Make sure you give the court original documents and/or certified documents. You can include journals and notes. We did and even though the judge will probably not read everything, he will read the response and note the exhibits attached.
We have dealt with the very same thing, but not as accusatory of child molesting. We have had stalking orders filed against my now husband (both were dropped, we live in another state), told we lied under oath, proved we didn't, proved she did....you just have to document, document, document. On cell phones, we use this only to contact her and have her contact us, because of detailed billing. Proved her accusations of 20 phone calls a day were false.
Good luck! Most everyone on this board gives good sound unbiased advice.