For now, lost party influence will continue to enable Trump’s generally hard-to-define policy leanings. He’ll easily shift between the right and the left as it suits him with more freedom than perhaps any other president in 100 years. Republicans and Democrats will likely begin to decide on a case-by-case basis when to support the president, when to oppose him, and when to simply keep quiet. And that means the long-coveted positions like Speaker of the House and majority leader will become less important.
Looking to 2018 and the next presidential election, expect more outsider candidates to throw their hats into the ring without established party members being able to do much about it. Supporters of President Trump are likely to challenge incumbent Republicans in several primaries. And there are many who believe the Democrats might even get more serious about recruiting outsiders and celebrities for the 2020 race against President Trump.