Dear Nancy:
The zoyzia spreads with underground rhizomes and even if you were to power rake and remove all of the tops, I suspect that it will regrow from the roots and come back right later on when the soils warm and be there along with your rye and bluegrasses sown earlier. You will have certainly set it back substancially, but not have gotten rid of it. You may be able to make the lawn acceptable to you, living with zoysia and your cool season grasses if you reseed/overseed every year or every other year. The zoysia really grows well when your blues and ryes do not - in the heat of the summer. Keeping the blues and ryes alive and actively growing will make them more competetive with the zoysia. Before you tackle the whole lawn, consider experimenting in a small area for another year before you commit to a larger project.
Sincerely, Richard