I believe that you would be able to simple copy the database tables to the new installation and be good.
Orders - CubeCart_order_inv and CubeCart_order_sum
Customers - CubeCart_customer
If you need to maintain download keys, then you'll need to copy over that table as well: CubeCart_Downloads
You MAY need to set the autoincrement value for the customer_id field in the customer table. If so, find out what the next value would be and run this SQL statement in your phpMyAdmin:
CODE
AlterTable CubeCart_customers Auto_increment = xxx
Again, if you're transferring download keys, you may need to update the autoincrement in that table as well.
Of course, if you've added a prefix to your tables, you'll need to add that bit to the SQL statements.