Actually the smaller selection is already there, but they are nearly impossible to see since our software provider made a major upgrade step, some time ago.

Below the lower right of the "quick reply" edit box, click "More Edit Options."

Once the larger edit box displays, the one with a larger selection of edit buttons over the edit box, look to the right side. There are some shrunk/squashed smilies. There used to be 18 of them, but they expanded the edit box to the right and squeezed them out. They are not well displayed, unfortunately.

As you've doubtless already discovered, if you click "More" below the squashed smileys the entire smilie catalog comes up, instead of a small selection.

It's rather frustrating, I agree.