IDKit templates cannot be used outside IDKit, because they contain various IDKit-specific information intended to improve accuracy and performance. IDKit can export templates in ANSI/ISO format or in ANSI/ISO PLUS format. Such templates are fairly compatible with other software.
If you need to use other matching software, you can also take the original fingerprint image (if CFG_STORE_IMAGES was enabled during your user enrollment phase) and create new vendor-specific template using SDK from the other vendor.