Right now this framework is using jquery datepicker for the datepicker field type and another library for the timepicker

The site hosting the docs for the timepicker seems to be no longer available: https://web.archive.org/web/20220122113558/https://fgelinas.com/code/timepicker/

Actually, it seems like you're using jqueryui timepicker, so the doc link in the example file is wrong.

Both the timepicker and datepicker libraries are not really the best out there...I suggest adding flatpicker as the lib of choice, it can handle both date and time options: https://flatpickr.js.org/

Its baked into jQuery but I think a dedicated version of it should be coupled with the framework like was done with the jquery datepicker currently in there.

For backwards compatibility, a new field types for flatpicker can be created and called something like datetime