Date input localization problem

In our web based software there is a date input which works well in Chrome, Edge and Opera according to localization, but it doesn't work in Firefox and Safari.

As a workaround we built the Modernizr extension like this:
        if (! {
                  dateFormat : 'yy-mm-dd'

The date shows well with the default value e.g. 2017-11-02 but when the user clicks in it the format changes and it sets a new date (1902 jan. 2).

I attached the pictures

default_value.jpg = Default value
on_focus.jpg = Clicked
after_focus_click.jpg = when it loses focus, without changing the value
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Julian HansenCommented:
datePicker - is that from jQueryUI or another library?
Member_2_7965240Author Commented:
It is from jQueryUI. Thank you.
Julian HansenCommented:
I put this sample together using your code - seems to work fine (bar the datepicker background not showing which I will fix later)

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