I see what you're saying, but I disagree. The GOP base thinks of cutting the size and scope of government, but the non-politicos who are the GOP representation in the House and Senate don't. Well, they don't know how to fight. They think that politics is a debating club.
But the GOP base never insists that the elected officials do anything about cutting government. They may think about it, but when they get right down to it, they are happy to elect people who promise to grow government, so long as the politician has a GOP label.
Take GW for instance. Throughout his campaign, he promised to grow government. He never suggested he'd cut government. But the GOP base elected him anyway.