diff --git a/qutebrowser/completion/completer.py b/qutebrowser/completion/completer.py
index 6cd11848a..befd2c01d 100644
--- a/qutebrowser/completion/completer.py
+++ b/qutebrowser/completion/completer.py
@@ -24,8 +24,7 @@ from PyQt5.QtCore import pyqtSignal, pyqtSlot, QObject, QTimer
 from qutebrowser.config import config
 from qutebrowser.commands import cmdexc, cmdutils, runners
 from qutebrowser.utils import usertypes, log, objreg, utils
-from qutebrowser.completion.models import instances
-from qutebrowser.completion.models.sortfilter import CompletionFilterModel
+from qutebrowser.completion.models import instances, sortfilter
 
 
 class Completer(QObject):
@@ -154,19 +153,7 @@ class Completer(QObject):
                 model = None
         else:
             model = instances.get(completion)
-        return self._get_filter_completion_model(model)
-
-    def _get_filter_completion_model(self, model):
-        """Wrap the argument model with a CompletionFilterModel.
-
-        Args:
-            model: the source model.
-
-        Return:
-            A completion filter model.
-        """
-        filtermodel = CompletionFilterModel(source=model, parent=self)
-        return filtermodel
+        return sortfilter.CompletionFilterModel(source=model, parent=self)
 
     def _filter_cmdline_parts(self, parts, cursor_part):
         """Filter a list of commandline parts to exclude flags.
@@ -216,7 +203,7 @@ class Completer(QObject):
         if cursor_part == 0:
             # '|' or 'set|'
             model = instances.get(usertypes.Completion.command)
-            return self._get_filter_completion_model(model)
+            return sortfilter.CompletionFilterModel(source=model, parent=self)
         # delegate completion to command
         try:
             completions = cmdutils.cmd_dict[parts[0]].completion
diff --git a/qutebrowser/completion/models/instances.py b/qutebrowser/completion/models/instances.py
index 4e993995b..7db82c8b6 100644
--- a/qutebrowser/completion/models/instances.py
+++ b/qutebrowser/completion/models/instances.py
@@ -37,30 +37,17 @@ from qutebrowser.config import configdata
 _instances = {}
 
 
-def _init_model(klass, *args, **kwargs):
-    """Helper to initialize a model.
-
-    Args:
-        klass: The class of the model to initialize.
-        *args: Arguments to pass to the model.
-        **kwargs: Keyword arguments to pass to the model.
-        dumb_sort: Passed to CompletionFilterModel.
-    """
-    app = objreg.get('app')
-    return klass(*args, parent=app, **kwargs)
-
-
 def _init_command_completion():
     """Initialize the command completion model."""
     log.completion.debug("Initializing command completion.")
-    model = _init_model(miscmodels.CommandCompletionModel)
+    model = miscmodels.CommandCompletionModel()
     _instances[usertypes.Completion.command] = model
 
 
 def _init_helptopic_completion():
     """Initialize the helptopic completion model."""
     log.completion.debug("Initializing helptopic completion.")
-    model = _init_model(miscmodels.HelpCompletionModel)
+    model = miscmodels.HelpCompletionModel()
     _instances[usertypes.Completion.helptopic] = model
 
 
@@ -68,24 +55,23 @@ def _init_url_completion():
     """Initialize the URL completion model."""
     log.completion.debug("Initializing URL completion.")
     with debug.log_time(log.completion, 'URL completion init'):
-        model = _init_model(urlmodel.UrlCompletionModel)
+        model = urlmodel.UrlCompletionModel()
         _instances[usertypes.Completion.url] = model
 
 
 def _init_setting_completions():
     """Initialize setting completion models."""
     log.completion.debug("Initializing setting completion.")
-    _instances[usertypes.Completion.section] = _init_model(
-        configmodel.SettingSectionCompletionModel)
+    _instances[usertypes.Completion.section] = (
+        configmodel.SettingSectionCompletionModel())
     _instances[usertypes.Completion.option] = {}
     _instances[usertypes.Completion.value] = {}
     for sectname in configdata.DATA:
-        model = _init_model(configmodel.SettingOptionCompletionModel, sectname)
+        model = configmodel.SettingOptionCompletionModel(sectname)
         _instances[usertypes.Completion.option][sectname] = model
         _instances[usertypes.Completion.value][sectname] = {}
         for opt in configdata.DATA[sectname].keys():
-            model = _init_model(configmodel.SettingValueCompletionModel,
-                                sectname, opt)
+            model = configmodel.SettingValueCompletionModel(sectname, opt)
             _instances[usertypes.Completion.value][sectname][opt] = model
 
 
@@ -97,7 +83,7 @@ def init_quickmark_completions():
         _instances[usertypes.Completion.quickmark_by_name].deleteLater()
     except KeyError:
         pass
-    model = _init_model(miscmodels.QuickmarkCompletionModel)
+    model = miscmodels.QuickmarkCompletionModel()
     _instances[usertypes.Completion.quickmark_by_name] = model
 
 
@@ -109,7 +95,7 @@ def init_bookmark_completions():
         _instances[usertypes.Completion.bookmark_by_url].deleteLater()
     except KeyError:
         pass
-    model = _init_model(miscmodels.BookmarkCompletionModel)
+    model = miscmodels.BookmarkCompletionModel()
     _instances[usertypes.Completion.bookmark_by_url] = model
 
 
@@ -121,7 +107,7 @@ def init_session_completion():
         _instances[usertypes.Completion.sessions].deleteLater()
     except KeyError:
         pass
-    model = _init_model(miscmodels.SessionCompletionModel)
+    model = miscmodels.SessionCompletionModel()
     _instances[usertypes.Completion.sessions] = model