The following changes to the standard setup of the vuetify template will allow you to use typescript instead of babel or just plain javascript.
Additional changes have to be made to vuetify in order to get this running, namely the vuetify typescript declarations. I am currently working on that. Patience is a virtue.
Found this on a quick search and not sure where to update these files .. would you be able to point me in the right direction? Were you able to get this to work correctly?