No. It is not.
I didn’t see such hadith from Imam Ali (a.s) but it’s true that Sadaat had very closed relationship with Mongolian and when Abbasids were loosing their power in Islamic world and it was 11 century Changez Khan (Gengis Khan) got victory over many Citiesin Iran, Uzbekistan and Turkmenistan( Marv) he gave honor to the Sadat and in Baghdad Khwaja Nasirudin Toosi he asked people not to fight with Mongolians and when Ghazi Khan became Muslim he ordered not to kill any Sadat and opened a new institution Dar as Sadat to protect them.
Therefore it has mentioned in History that Mongolians never fought with Sadat and gave high honor and respect. Also Sadat had very prominent posts and positions during their emperorship that is the reason many Sadat moved to Indians Subcontinent during the invasion of Mongolian in these area and today we have big number of Sadat living in India and Pakistan and Iran.
You can read more on this subject in the following boos:
1 . رشیدالدین فضلالله همدانى، جامع التواریخ، ص 223 .
2 . ابوالقاسم عبدالله بن محمد کاشانى (القاشانى)، تاریخ اولجایتوص 99 .
3 . رشیدالدین فضلالله همدانى، مکاتبات رشیدى، مکتوب شماره 8، ص 19 .
4 . غیاث الدین بن همامالدین حسینى خواندمیر ، حبیب السیر فى اخبار افراد البشر، ج 3، جزء 1، ص 28 .
5 . عطاملک جوینى، تاریخ جهانگشاى جوینى، ج 1، ص 200 .
I don’t have english books but these are persian references.