Good website so you can begin to brief yourself on this forgotten part of Indian history: http://www.cosmicelk.net/Yakutia16c.htm
The site you have linked actually says Shakas originated in South Asia. You claim they were East Asians who conquered India. Nowhere does it say Buddha’s family were expelled for India. You made that up. You claimed Buddha’s family was from Yakutia. The article you pointed me to says exactly the opposite i.e Yakutias originated from India. You have clearly been proven wrong by your own source.