No he wouldn't.Jesus would condemn BLM as a racially divisive movement and join the rest of us that support all lives.
Ever hear the parable of the lost sheep? When one wanders off and is I danger, he leaves the 99 to find the one. Because at that moment, even though all lives do matter, it is the 1 that needs his help, not the 99.
Guess what his response was to the 99 that asked "what about us? Don't all sheep lives matter to you?"
“If a man has a hundred sheep and one of them wanders away, what will he do? Won’t he leave the ninety-nine others on the hills and go out to search for the one that is lost? 13 And if he finds it, I tell you the truth, he will rejoice over it more than over the ninety-nine that didn’t wander away! 14 In the same way, it is not my heavenly Father’s will that even one of these little ones should perish.