tefilla - Do some abridge the Shabbat evening Kiddush?

I came across this video from the IDF. The man leading the group leaves off the last verse of Shalom Aleichem.

He also omits sections of the last blessing of Kiddush, specifically

כי הוא יום תחלה

and

כי בנו בחרת ואותנו קדשׂת מכל העמם

What is the reason for this?

Also, can anyone identify the nusach he is canting? I enjoy the melody and flow very much.