If Google Can't Find Any, Well.....

I did a Google search for "moderate republicans". The results were interesting, but not surprising. I found just two sites on the first two pages that had a date in 2007.
There was a piece by Taegan Goddard's Political Wire with this interesting quote:

"During the 12 years that Republicans controlled the House, moderate Republicans were the stepchildren of their party, expected to vote with their conservative leadership on crucial issues, even if it meant taking positions that could anger centrist voters back home." However, now that Democrats have taken control of the House, moderate Republicans "are vowing to pursue their centrist positions more assertively, even if it means endorsing Democratic initiatives."

Curiously, there was no moderate republican named.
CNN's Political Ticker had another interesting piece, but again no mention of serving "moderates".

The Republican Leadership Council was founded in 1993 to expand the party's base, but has not been very involved in campaigns since 2003. It's now attempting to recruit candidates that are fiscally conservative, but moderate on social issues.
Former Gov. Christie Whitman of New Jersey, former Sen. John Danforth of Missouri and former Maryland lieutenant governor Michael Steele want to revitalize the RLC, which has a counterpart in the centrist Democratic Leadership Council. The RLC is being combined with Whitman's political action committee IMP-PAC -- It's My Party, Too.
"After the losses in 2006, the reaction was overwhelming that we need to get the Republican Party back to its fiscally conservative roots," Whitman said, adding that the GOP needs to be "a little less judgmental."

Would these people even be welcomed in the present republican party?

There were great websites with titles like these:
Bush's Re-election Would Doom Moderate Republicans
Moderate Republicans Feeling Endangered
The Moderate Republican Scam
This one here is my favorite. It lists those things that make a republican a moderate:

A passion for civil liberties;
A disdain for conformity and suspicion of authority;
A belief that the Constitution is a living, breathing document with timeless values that must be made relevant in a modern age;
A commitment to protect the environment and not engage in mindless exploitation of the nation's natural beauty. A spirited case must be made for reusable energy sources like solar power. Modern technology provides many options before the earth is harshly, brutally, and needlessly pillaged.
A strong belief that diversity -- gender, racial, social, sexual, ethnic, and religious -- should be celebrated because it gives the United States moral strength. Diversity -- in the long-term, encourages respect, understanding, and a greater sense of community;
A commitment to fiscal prudence and limited government;
A recognition that government does have a basic social responsibility to help those in need;
A belief that the nation does have international responsibilities;
A belief that God and religion have a very important place in America -- at the dinner table and in churches, temples, and mosques. But it should never be used by politicians to advance a narrow moral agenda;
A belief that the national government should be used in a limited manner to advance the common good;
A commitment never to put party above country; and
A responsibility to publicly criticize those who call themselves Republican when the situation merits. Moderate/Progressives have a duty to vote against the party line when it doesn't serve the greater good. Doing so doesn't make them less Republican; it demonstrates that they have the honor, political courage, and intellectual honesty to put nation above party.

Does this sound like the republicans serving in congress? Hell, that doesn't sound like anyone, but it sounds great. I'd join a moderate republican party in a second, if there was one

The search continues.

Jim M