Can I use mod_python.so and mod_wsgi.so at the same time on Apache Web Server defining different directories for each of them. At the moment I can not enable them both in my apache config file at the same time using LoadModule.
mod_wsgi for Django and  mod_python for .py and .psp scripts.
For recent versions of mod_wsgi no you cannot load them at the same time as mod_wsgi will prevent it as mod_python thread code doesn't use Python C API for threads properly and causes various problems.
Short answer is that you shouldn't be using mod_python any more. Use a proper Python web framework with a more modern template system instead.
If for some reason you really don't want to do that, go back and use mod_wsgi 3.5.
Enable mod_python and mod_wsgi module