Are you asking if people believe it's okay for humans to continue to raise/cause enough problems for certain species of animals to become extinct and to post reasons why the individual may or may not believe it is okay?
If you are, I'm kinda split on this one. You have to consider human rights, poverty, illness, corruption, starvation, etc. Then (iMO) you have figure out if you believe that people deserve what they are given or if they just so happen to have certain circumstances put on them. Once you've figured that out, you have to ask yourself, do you care more about people or animals? Then, I think you should consider the scientific reasonging for why it may or may not have disastrous outcomes and whether you believe that the potential out outcomes are substantial enough to help you decide.
BUUUT, I don't think (at least!) 95% of the US population is educated and/or intelligent enough to fully take those questions (as well as a million more) into consideration when making their opinion. Shoot, look at what the US has done to Guam, Cuba, and the philippines! Look at how much we can't even help 'our colonies.' I think it's time for another revolution, be it radical/extreme or not.
It's kind of a question of save one kill, a hundred? Or save a, hundred kill one? [as a side note: I vote we fight wars with only hand to hand combat! Let it be a battle of skill, not guns.]