From CNN Political Editor Mark Preston

WASHINGTON (CNN) -- Former Big Apple Mayor Rudy Giuliani is crisscrossing the country this week to help raise money for GOP candidates, including John Faso, the Republican nominee for New York governor.

But perhaps the most interesting stop for Giuliani will be his visit Thursday to the Granite State, where he is scheduled to attend a Republican fundraiser for the New Hampshire House Victory Committee and an event for GOP Rep. Jeb Bradley.

Early polls show that Giuliani is one of the frontrunners for the Republican presidential nomination in 2008, but there is question as to whether the conservative base will shun him because of his moderate views on hot-button social issues such as abortion and gay rights.

Giuliani is also raising money this week for Republicans in Connecticut, Oregon, Rhode Island and Washington State.