You’ve kind of asked, really, two questions here: 1) whether you should be “forced” to pay taxes to fund social programs, etc and 2) whether the “clueless” are even worth helping.
To address your first question, you aren’t being forced. You agreed to this. You agreed to being taxed based on the concept of “tacit consent.” You signed the social contract by living here and experiencing the benefits of conferred by the government (e.g. national defense, roads, courts, etc). You’ve also got representation in the legislature. Granted, the system isn’t perfect. The person in office isn’t always who you want. The policies that you like, or don’t like, aren’t always represented. However, this is a representative government. Ideally, it reflects the desires of the majority w/out infringing upon the rights of the minority. The system isn’t perfect, but there are avenues in the political process that give you that voice and to make that change that you desire. As a friend once told me, Democracy sucks, but it’s the best thing we got right now.
It sounds like by “clueless,” you mean the “poor.” You’re assuming that the poor are poor b/c they just can’t grasp the notion of the American Dream. Here’s the problem: the American Dream is not as simple as you think it is. No one’s socioeconomic standing is determined by only whether they can just work hard. Much of anyone’s success in the United States is not solely the result of each person’s hard work, but also dependent upon the hard work of their forebears. In essence, your “production” and success stands on the shoulders of those who came before you. Those that came before you owe their success to those that came before them, etc. Don’t get me wrong: hard work is important, but there are many, many factors outside of hard work that control how far can you go. Again, not all of the factors are determinative, but they are relevant.
My addendum to your question is thus: given this context, should the government help these people? I would say, yes, but only if the government plays a role in improving that person’s skill set so that they can become a good productive member of society. That is to say, I would argue that the American Government, at the very least, has an interest in promoting its citizen’s ability to achieve that lofty American Dream.