Try setting up a linked server connection using the ODBC connection. On one server we found we could successfully get this to work but we couldn't get SSIS to play correctly with the ODBC connection. In the worse case, you can use SSIS to execute a linked server query to bring over the data via stored procedure call. Here's a sample Linked Server connection that worked for us in this instance.
EXEC master.dbo.sp_addlinkedserver @server = N'Some_MySQL_Server_Name', @srvproduct=N'MySQLDatabase', @provider=N'MSDASQL', @datasrc=N'Some_ODBC_Name'
EXEC master.dbo.sp_addlinkedsrvlogin @rmtsrvname=N'Some_MySQL_Server_Name',@useself=N'False',@locallogin=NULL,@rmtuser=NULL,@rmtpassword=NULL
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'collation compatible', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'data access', @optvalue=N'true'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'dist', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'pub', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'rpc', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'rpc out', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'sub', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'connect timeout', @optvalue=N'0'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'collation name', @optvalue=null
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'lazy schema validation', @optvalue=N'false'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'query timeout', @optvalue=N'0'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'use remote collation', @optvalue=N'true'
GO
EXEC master.dbo.sp_serveroption @server=N'Some_MySQL_Server_Name', @optname=N'remote proc transaction promotion', @optvalue=N'true'
GO