Conservatives are, by definition, people who want to
conserve the status quo. They believe society is good as it is (or as it was in sine possibly imagined past) and seek to use the power of the state to prevent changes, and to revert any changes that are pushing society away from what they believe is the status quo. Conservatism has absolutely nothing whatsoever to do with "being conservative in application of government". In the USA, it happens that part of the status quo that many conservatives want to conserve is a weak federal government. In the UK, conservatives are typically monarchist, which is essentially the opposite position.
Either way, many conservatives are collectivists: they believe the needs of society and preservation of tradition outweigh the desires of individuals, and so they tend to be in favor of concepts such as the traditional family excluding gay people, the rule of mothers in child rearing being more important than the freedom of women to pursue careers and so on.
The opposite of conservatives are progressives, people who believe the status quo is not generally good, and who seek to use the power of the state to change the status quo in a direction they believe is progress.
There are also many collectivist progressives, and as such tend to want things like egalitarian schooling even if certain extraordinary kids may be kept behind, or supporting progressive taxation such that those who have more have to give more to the collective.
On a different axis, we have liberals, who are the opposite of collectivists. Liberals can be conservative or progressive, but they ultimately believe that the most important value is individual freedom.
An example of a liberal conservative is someone like Ron Paul. He believes the status quo is generally good and shouldn't be changed to much, except where he thinks government has over reached. However, he also believes government shouldn't involve itself in people lives, even to preserve societal values, so he tends to support the legalization of Marijuana and perhaps even gay marriage (though given electoral realities, in not sure of his public position on the second). Contrast this to a more collectivist conservative like justice Clarence Thomas, who believes the state should ban gay marriage and even sodomy and contraception.