That is not correct. The relevant clause of the statute - the one the feds will use to get him - has nothing to do with motivation. It's very straightforward =>
Whoever, under color of any law, statute, ordinance, regulation, or custom, willfully subjects any person in any State, Territory, Commonwealth, Possession, or District to the deprivation of any rights, privileges, or immunities secured or protected by the Constitution or laws of the United States,...
I don’t want to do what others here often do, get in a flame war with like minded persons. However, you really need to read the statute again. More critically. Or study its application. Google some articles on the subject. You will get the hang of it. Read US v. Lanier. http://caselaw.lp.findlaw.com/scripts/getcase.pl?court=US&vol=000&invol=95-1717
You have quoted a statute that comes into play when there has been a deprivation of federal civil rights by murder, and not articulated any predicate for its imposition. If your interpretation was correct, all murder would be federal murder and subject to federal jurisdiction. We should all pray to God that is not correct.