DatePicker Keyboard Focus

When navigating to a DatePicker element with the keyboard (using the tab key for example), you can't start typing right away, you have to click it with your mouse, even though the focus outline is shown:

This happens in Chrome as well as in Firefox and can also be seen on the example page

We're having the same problem too

And with DropDown too. It would be great to focus with tab key and be able to type into search box without using mouse.

would like to vote for this one too.
e.g. the examples on the demo page -> if we click in the dropdown, it would be nice if focus is automatically in search field so we can start typing right away.

Having the same problem too.
keyboard navigation is not working well in many components.
Kindly fix this soon