As Kolonalkurtz mentioned, yes and no — the movements of the ’60s had a focus on civil rights and equality in public services, education, etc — but also had foci of not just equality, but justice of economic results (as opposed to opportunity; cf. the Black Panthers and Bayard Rustin’s platform), not to mention issues of Latin@ social and economic access and justice (as seen with the Young Lords), and on top of that the women’s liberation movement which blossomed into further intersectional discussion.
So ultimately it’s very much the same with what BLM has gone through — there are myriad issues to tackle and myriad ways in which to prioritize them. The difference is that there are fewer ways legislatively or judicially to get the rights beyond which have been secured by the movements of the ’60s at this point (at least in my view).
In any case, kudos to Kaep for bringing this discussion to the fore in a more public way than it had been of late.