What that wing of the party doesn't understand is that a majority of those moderates ran in bad years for the GOP. Ford had Watergate, his Pardon of Nixon (which was necessary to heal the country), the Fall of Saigon, and a bad economy (which was arguably Nixon's and to some extent LBJ's fault) on his record, and despite that he almost beat Carter.
Bush 41 had a bad economy (arguably the long term effects of Reagan combined with the business cycle as usual), and right wingers turning on him for doing what needed to be done with taxes and a strong third party candidate (who, contrary to right wing belief, was not a spoiler). Plus voter fatigue and the most skilled politician of the late 20th century as the Democratic nominee.
Dole was the Walter Mondale of the Republicans, in a sense that the GOP knew they were going to lose and that Dole was going to retire, so they gave him the nomination as a sacrificial lamb. Baring a major scandal coming as an October surprise or foreign policy blunder, no one (except maybe Powell who had no political ambitions) was going to beat Slick Willy in '96. The economy was strong and things were for all intense and purposes stable abroad.
McCain had 8 years of Dubya to run on and answer for, had a campaign that didn't properly vet his dunce of a running mate, with a financial crisis as the icing on the cake. Factor that with the fact that he was running against the first African American nominee for President of either major party.
Romney was the only one of those moderate Republicans that lost a winnable election, and did so because he spent more time pandering to wing nuts that were already (although reluctantly) going to vote for him, thus failing to broaden his appeal and alienating moderates. Let's not forget the "corporations are people my friend," "I like being able to fire people," and the infamous 47% remark. Romney's loss was of his own doing, not because he was a moderate.