There is no anti-war movement on the right. The only time there is, is when a Right-winger is trying to win an election. Once said right winger inevitably starts a war, the pom poms come out.
Tucker Carlson is perhaps the most popular commentator on the right and has a significant following and he is adamantly anti-war.
There is a legitimate cross-ideology opportunity here that the war party (which spans both american political parties) is desperate to keep from materializing.