I successfully use a Python script to convert Babylon dictionaries. The bad news is, that it doesn't seem to convert to Lingoes. However, the script first produces an *.xml file of the Babylon dictionary before converting to other formats. You can simply stop running the script before you start to make the other dictionary format. The *.xml file looks like this:
On their website, Lingoes claims:
If you have high-quality dictionary data and want to apply it in Lingoes, we will perform the format conversion and publish the information on the web site. (Note that you should provide common data formats, such as TXT files, XML files, CSV files, Excel worksheet and Access database. If you have some special file formats, please give us the file structure information
I don't think you can ask them to convert a Babylon dictionary for you, but there's hope you can do it yourself, using the information they provide http://www.lingoes.net/en/dictionary/dict_format.php.
Doable, not really simple. Maybe somebody comes up with something a bit easier.