Cheney isn't going to caucus with the Democrats which she opposed her entire life. She's going to head a group of anti-Trump Republicans.
Republicans' Overthrow of Liz Cheney Risks Worsening Their Headacheshttps://www.yahoo.com/news/republicans-overthrow-liz-cheney-risks-115704839.html?.tsrc=fp_deeplink
From the article
By excommunicating Cheney from her position, however, Republican lawmakers have created a host of new problems for their party.
They have underscored the grip that the increasingly unpopular Trump retains on their ranks; demoralized Republicans and independents who want to move on from his tenure; and, perhaps most significantly, emboldened a household-name conservative to take her case against Trumpism far beyond a Capitol conference room.
Yet it’s Trump who, well past Biden’s first-100-day mark, continues to present Republicans with their most vexing problem. At issue: how to accommodate a former president who’s beloved by their core voters, more detested than ever among the broader electorate and consumed with his defeat and campaign of retribution.