HPV causes a lot of things (various isotypes are responsible for warts, most head and neck cancer, penile cancer); it is also the (99.7% of the time) cause of cervical cancer. HPV vaccination has been shown to prevent cervical intraepithelial neoplasia (CIN) and carcinoma in situ, the precursor lesions to invasive cervical cancer, in large randomized trials. The current 9-valent HPV vaccine is 97% effective in preventing CIN 2 (moderate) and more severe disease (CIN 3, carcinoma in situ). It also prevents the vaginal equivalent (VIN2/3) - 100% effective, in fact, among HPV naive populations, and 62% among the overall population.
Current cervical cancer prevention strategy involves Pap smears and then biopsies and surgical intervention when we find abnormalities. It's not cheap, and involves women (best case) getting an exam they don't like every 3 years from 21-29 years of age, and every 5 years from age 30-65 years of age. In the worst case, in areas and among populations that don't get Pap screening, people either can try to get to "screen and treat" centers (where we use liquid nitrogen to spots that show up on a cervix swabbed with vinegar), or, more often, simply consign a percentage of women to a miserable death. Cervical cancer is common (17.8 per 100k in countries without screening, with 9.8 of those dying), which amounts to about 266,000 deaths per year. In developed countries, cervical cancer is the eleventh most common type of cancer and ninth most common cause of cancer mortality (3.3 per 100k). In the US, that amounts of 13,000 cases per year, and 4100 deaths.
It stands to reason that HPV vaccine, since it prevents in HPV infection, and advanced pre-cancerous lesions, will likely be shown to prevent incident cancer as well when the vaccine has been around long enough. (The vaccine was first licenses in June 2006; most women get colonized with HPV around sexual debut but the cancer doesn't show up until age 35-55, a 20-40 year delay.) The tragedy of the vaccine, if any, is that it is largely available only in developed countries, where most people can get treatment rather than dying from the disease. That's not nothing: ask any woman who has to have repeated colposcopies and LEEP surgery if she would have preferred to have gotten 2 shots around age 11 and skipped all of the attended pain, expense, and risk of later preterm labor.
In fact, with the introduction of widespread HPV vaccination in the United States proposals are already afloat to change Pap screening—one proposal suggests every 10 year screening for vaccinated persons. Despite the expense of the vaccine ($240 for the two shot series) it's likely to be cheaper and less cruel than the current state of the art.
You are free to consider Gardasil to be a "scare tactic." As a family physician who gets to follow up on plenty of abnormal Paps, and not a particular fan of the pharmaceutical companies, my kids are getting vaccinated