(In)Compatibility with the Date Popup module

Problem/Motivation

The Date Popup → module is widely used as it provides an html 5 with date picker alternative to Drupal core's much less user friendly text field-like exposed date filter.

After installing, the Date filter with defined ranges module invalidates this function of Date Popup as they both use the same hook_views_plugins_filter_alter().

Would it be possible to use both modules side by side? When selecting the custom range, the views would offer the date popup version of the Date popup module (instead of the current text field variation).