Are you hung up on database names or can you use whatever database?
With the latter, you could make a database "<your db name>_ISAM", recreate all tables & columns from "<your db name>" into "<your db name>_ISAM", then transfer/replicate the data and point your application(s) to use "<your db name>_ISAM"?
This way you are creating a test environment where you can see if the engine change is beneficial or not (to current the work flow).
Really consider the vastly improved
MySQL Workbench 6.2.4 as your assistant in this task (Oracle provides Community (free) and commercial editions). The Community edition (which I have a bit of personal experience with) helped me out of a situation with my mediawiki setup and showed me that its wizard for replicating MySQL databases is very competent while very easy to use.
The look and feel of MySQL Workbench has improved a lot, making it much(!) more useful than previous incarnations of this software. Now this software is practically similar to the software that comes with full-fledged database solutions such as those from Oracle and Microsoft.