Is it really the US making the first move? Facebook is blocked in China as are several other big countries. Granted, this is a ban after the company made inroads, but it seems that China has been doing this for a long time now and in many industries.
Who made the first move is kind of a philosophical question. And the tech war is part of a bigger "war" that is currently unfolding going from rhetorics to trade to military maneuvers.
What is more important is how it is being perceived amongst other countries around the south china sea. And as far as I can tell the US does not have the support it normally would have. Even from surefire allies such as Australia.