unixODBC is just a module which provides APIs compliant to ODBC, not a individual process. To use it, the unixODBC should be linked as a static or dynamic library into the application.
Many factors can impact the performance: hardwares(CPU, memory), the database design, etc. I think this issue is no related to unixODBC. You can run as many processes which use unixODBC as possible.