When David Cameron was the PM, the Conservative Party was dominated by its versions of the PBPs and CLs. Budget cutting, austerity, deregulation, and social liberalism were the order of the day.
Today, the situation is completely different; Reactionaries are in charge. The script has flipped; George Osborne’s austerity is over, conservative social policies are all the rage, and the interests of business are getting short shrift in the interests of delivering Brexit.
Can a Tory government grounded solely on a single faction–albeit the largest one– survive? In the long run, probably not. You can expect Boris to attempt to reunify the party once Brexit is a done deal. He will have self-interest and Labour extremism as allies, so it will probably work.