The Church will ignore it, I expect.
Bishop Strickland (Tyler, TX) has already praised this video. Strickland is one of the more conservative, traditionalist Bishops in the US - he's one of the ones who praised Vigano when that gentleman attacked Pope Francis.
The USCCB isn't going to crack down on this priest, given that some of the more right-wing bishops are already endorsing what he said.
The American hierarchy is still over-populated with second- or third-rate minds, elevated in the JPII and Benedict years because of their "orthodoxy" (meaning subservience, frankly), as opposed to their intellectual capabilities.
The U.S. Church is hemorrhaging young followers, and it's no wonder. Second-rate leadership, lack of real understanding or commitment to pastoral care (as opposed to clericalism and "respect for authority").
Overall, the hierarchy has sold itself to the Republicans, IMHO, and they're reaping the inevitable harvest of that. But I have to note that this is not really surprising. Catholic prelates tend to be authoritarian and conservative - they're the men who play the hierarchical game of church politics and climb the ladder of authority, and have a strong belief in an "unchanging" church - a very conservative outlook.
It's a short hop from instinctive respect and obedience to higher church authority to similar kowtowing to conservative secular authority. It's no wonder that so many of them tend to identify with authoritarian conservative secular leadership; it's their comfort zone. (Even when that secular leadership is horrific, there's a tendency to cut it slack - witness the number of Catholic clerics who supported Franco, and Mussolini, and even Hitler.)