Why does it matter. The Republican Party has functioned as country going through a constant cyclical Revolution since the 1960's.
Just as soon as one group has sat too long at the table (labeled as establishment) and talked and ate themselves to death, the revolutionaries are at the gates again demanding heads on pikes, the replacement of said group with another, who will likely meet the same fate in 30 years.
These have been the different GOP establishments since 1908:
1908-1912: Establishment Regroups stage
1912-1932: Libertarian Establishment
1932-1948: Transition Phase
1948-1976: Rockefeller Republican(Yes Rockefeller didnt become NY's Governor until the late 1950s, but Dewey and IKE were basically Rockefeller Republicans)
1976-1980: Transition Phase(After Ford lost , Reagan instantly became the favorite to become the GOP nominee in 1980, and had the most endorsements in the 1980 primaries. Then when he won the Presidency in a landslide.)
1980-2016: Reaganite Republicans
2016- Present: Unknown Phase(I dont think Trumpists take over the party because unlike Eisenhower and Reagan who were successful and popular presidents, he is the exact opposite).
If this is a transition phase , its not going to be the Trumpists who take over the party, but it also might be another establishment regroups stage