Hi Emrah,
You are trying to mix two different web server integration methods: fcgi (fast cgi) and wsgi.
Your first snippet is for a wsgi interface with the web server and is the recommended method for integrating Django with Apache. Very good resources (including examples) to help you set this up correctly can be found in the official Django docs How to use Django with Apache and mod_wsgi and the mod_wsgi docs Integration with Django
The second snippet (with AddHandler line) is for fcgi. This is the kind of interface that is more typically used to interface Django with the lighttpd and nginx web servers. Resources for setting up fcgi interface can be found in official Django docs How to use Django with FastCGI, SCGI, or AJP.
Since it looks like alwaysdata.com only uses FastCGI (fcgi) interface you are stuck with this method. It looks like there are examples on their wiki page Déployer une application Django and particulary you'll need to replace your first (wsgi) snippet with this:
#!/usr/bin/python
import os, sys
_PROJECT_DIR = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))
sys.path.insert(0, _PROJECT_DIR)
sys.path.insert(0, os.path.dirname(_PROJECT_DIR))
_PROJECT_NAME = _PROJECT_DIR.split('/')[-1]
os.environ['DJANGO_SETTINGS_MODULE'] = "%s.settings" % _PROJECT_NAME
from django.core.servers.fastcgi import runfastcgi
runfastcgi(method="threaded", daemonize="false")