1. free market conservatives who favor policies such as lower taxes and less regulation, which allow business to operate with minimal government interference. This group might sometimes divide into those who favor big businesses vs those who favor small businesses and entrepreneurs and innovations
2. social conservatives who favor "traditional values" and-or "traditional religion" and worry about the breakdown of families, and the rise of immorality. As of late, their focus has been on opposing abortion and gay marriage.
3. fiscal conservatives who oppose deficit-spending and favor balanced budgets
4. military conservatives who favor maintaining a strong defense system and an hawkish approach to foreign policy
5. law and order conservatives who favor a strong system of police and prisons, and tend to favor a "lock em up and throw away the key" approach - they generally favor the death penalty
6. radical libertarians who are share the position of the free marketers, but who oppose all government regulation of private lifestyles such as drug use, prostitution etc - this group has major differences with social conservatives
7. dignity of life advocates who are pro-life on abortion (like the social conservatives) - but who also oppose the death penalty or other acts that involve killing others. This group includes the Roman Catholic Church
8. anti-immigration activists who see immigrants as a threat, and are especially upset about illegal immigrants - they are strong advocates of "English-only" laws and worry that immigrants aren't assimilating quickly enough
9. second ammendment advocates - who fear government infringement on their right to hunt, collect guns, or defend themselves - these often share views with the law & order crowd
10. Ditto-heads - who hold whatever position Rush Limbaugh takes on a given issue
1. anti-poverty liberals who focus on various measures to help poor people - either directly via various forms of welfare, or indirectly by increasing access to education, job training, etc
2. anti-discrimination liberals who focus on eliminating discrimination against various minority groups and promoting diversity -- especially women, blacks, latinos, and gays - but also various other groups
3. healthcare advocates who want to ensure that everyone has access to high quality care for an affordable price - this group also wants people to stay healthy by exercising, maintaining a healthy diet, and getting regular checkups
4. education advocates who want to ensure that everyone has access to high quality education for an affordable price - and they want to see reforms that improve education -- this group generally includes teacher unions but these tend to oppose reforms that would threaten teachers' jobs.
5. labor advocates who want to ensure that workers are treated fairly - they tend to favor strong unions. I would divide this group into traditional unions (such as autoworkers) and government unions (teachers, government workers etc).
6. environmentalists who want to preserve natural habitats and protect endangered species from development - this group also favors regulations to minimize pollution and is currently extremely concerned about global warming
7. people concerned about wasting natural resources - this group worries that we're running out of fossil fuels and are strong advocates of renewable energy and conservation
8. people who want to ensure that police, courts, and prisons treat suspects and convicts fairly and humanely - this group fervently opposes the death penalty and worries about harsh prison conditions
9. people who oppose warfare (unless it's absolutely necessary) and promote peaceful approaches to global conflicts - they generally favor reduced spending on national defense
10. animal rights activists who promote the humane treatment of animals, and want people to see that animals feel pain and suffer when mistreated - many of these people are vegetarians
And there are other groups -- clearly, it is extremely simplistic to try to boil all these interests down into "conservative" or "liberal". And each of these groups can be divided into radicals who seek rapid and-or major change, and others who are more moderate and seek less and-or slower change
And then there are the many people who don't really care about politics as long as their own lives aren't being affected - but who might complain loudly