But Baker’s campaign could prove to be a virtual stimulus package for the state GOP, not only putting consultants back to work, but bringing the party back to a brand of Republicanism that has proved to be politically successful in Massachusetts over many years, a blend of moderate social views and fiscal restraint.

“There’s a pretty clear formula for electing a Massachusetts Republican in this economy, in this fiscal situation,’’ said former acting governor Jane Swift. “And with Charlie Baker’s credentials, it’s easy to see a win on the horizon. That’s what’s got everybody so excited.’’

It was the kind of platform that William F. Weld ran on, twice, and it was the platform that Mitt Romney ran on in 2002, but then abandoned as he stoked his national ambitions by adopting more conservative positions.