BDS very clearly targets what Israel is doing in regards to the Occupation and rights of the 20% of non-Jews (Palestinians) inside of Israel. Simply put, it is what they are doing not who they are. Once freedom, equality and justice is obtained, BDS will cease.
It is important that there have been other boycotts in the past and the racist card has not been used there. For example, South Africans used BDS against Apartheid and were never labeled as anti-White.