They are all related languages ~ to a degree brought to their present speakers through the instrumentality of the Mongol Empire (or, in the case of the Japanese, the 6th century Korean invasion).
Sa'ami, on the other hand, has a large Uralic-Altaic vocabulary, but the 9 current Sa'ami languages have a grammar much more consistent with Sumerian and the Dravidian languages of Southern India.
They "look" vaguely Asiatic simply because "white folks" looked like that before breeding with non-European peoples to their South.
I have read that if you know Korean, learning Japanese and Turkish is easy. I have heard Japanese before, sometimes it sounds different from Korean. I know they are related to each other. I have read that Korean could be related to Dravidian languages because of structure and grammar. Sometimes when I hear Indian talk, sometimes I think I am hearing Korean. In fact that was the first thing people thought in the 19th century. I even heard of a link between Korean and Sumerian. Some people think Dravidian could be a branch of Altai-Ural. Dravidians today are often the "Untouchables" in India, they are short and have dark skin.