1) Most Sami consider themselves indigenous white Europeans, to the best of my knowledge.
2) You're trying to apply American racial dynamics to Europe, which really doesn't work. I've had my share of Americentrism on Tumblr, thank you.
3) What does cultural perception of Fins living in the US over a century ago have to do with a different (albeit related) ethnic group living in modern day Europe?
4) Who even uses the Caucasoid/Mongoloid/Negroid division anymore, other than neo-Nazis? By that classification, Arabs, Persians, and many South Asian ethnicities are considered "Caucasoid", even though they're frequently perceived as non-white many regions. Fins being classified as "Mongoloid" over a century ago hardly means anything nowadays. Fact is, pale skin, blonde hair and light eyes are almost universally perceived as white nowadays. It's cultural differences that lead to anti-Sami discrimination, not race.