It is advisable to at least take half of the money and put it into an account in your own name, as otherwise, your fears could be realized. In Florida, it doesn't matter whose name an asset is in (and the money in the bank accounts is an asset), it matters when it was acquired in order to determine whether it is a marital asset subject to equitable distribution. There are also probably multiple other issues regarding debt and assets that are going to arise that would need to be resolved, and it is definitely advisable that you retain an attorney to assist you in understanding your potential rights and options during a divorce proceeding.
My office offers free initial telephone consultation if you would like to discuss your matter further. Should you wish to schedule a telephone consultation, please contact my office at 407-971-6140 so that we can discuss your matter in more detail.