Rudy Giuliani blew off a question at the recent GOP Presidential debates about his similarities with Hillary Clinton. However, the fact of the matter is that before he started thinking about running for president, he was very much similar in some ways. In that regard, his "I am not Hillary" moment was similar to Bill Cliinton's "I did not have sex with that woman!" moment.
For example:
Giuliani and Clinton positions compared:
Giuliani Clinton Gun control Says New York gun control laws helped make New York City the "safest" big city in the United States. Supports gun control. Supported Giuliani's 2000 lawsuit against gun manufacturers. Abortion Says abortions are "wrong," but supports the "constitutional right" of women to have abortions, and some public funding. Describes abortion as "a tragic choice," but supports public funding for abortions in some cases. Gay rights Says marriage should be "between a man and a woman," but supports domestic partnerships. Supports civil unions, but says states should decide on gay marriages. Immigration As mayor of New York, permitted illegal immigrants to report crimes and enroll their children in public schools. Opposes illegal immigration, but voted against denying social security benefits to illegal aliens. Giuliani has modified his positions on social issues in some subtle ways since launching his campaign for the presidency. For example, he earlier opposed a ban on late-term abortions, so-called partial-birth abortions, saying that the choice should be left to "the woman because it affects her probably more than anyone else." (Meet the Press, February 6, 2000.) In April 2007, he praised the Supreme Court for upholding a congressional ban on such abortions. The abortion rights group NARAL accused him of doing "a 180-degree pivot on his former position."
In other words, he went from that to this:

Meaning that he will say anything to get elected.