News of Mr. Carlson’s breakup with Fox immediately stoked speculation in right-wing media circles about his next steps. Mr. Carlson’s nightly perch on Fox News has made him a power broker and an opinion-shaper in the Republican Party. That would make him a serious get for the conservative media companies that have pitched themselves as alternatives to the mainstream press — and to Fox News, the right-wing media behemoth.One associate of Mr. Carlson’s said that Rumble, a right-wing media company based in Canada, would be a likely suitor. The Daily Wire, a media start-up co-founded by the conservative commenter Ben Shapiro, is interested in exploring …