I believe so. Mainly because I believe we should be exploring all we can in order to learn all we can. The problem though is if we actually do find life, how will we respond to it? If it's scientists seeking life for the sake of learning and discovering, I think that we would do quite well. If the government were to get involved, which of course it would, then there would be trouble. But I am more referring to if we were to find the sort of life which would have its own culture. I could see it getting exploited, and resources drained and territory unrightfully claimed, as it has happened so many times in history. The other thing to consider would be what kind of influence would we have on another culture not on this earth and not to the point of distance travel themselves? Are we as species mature enough to meet another culture without manipulating it?
If we were to find microbes, they could be equally tricky. Once again, science for the sake of science might be alright. Though, they do say that curiosity killed the cat, and without knowing what that microbe represents or is capable of, it could bring a negative impact to earth, much like bringing a non-native invasive species to an area can.
Then again, the opposite of all that could be said. We could embrace a new culture, new views of the universe and learn more peaceful ways and new and intriguing sciences! It could be an exciting an amazing opportunity.
The search for life though isn't just about finding life for the sake of life. Finding life on another planet would mean the possibility of a matching Goldie-Locks planet like ours. I our rules for being able to exist are universal, then a planet like that would mean another place for us to live since it would have water and be at a spot in the solar system where it wouldn't be too hot or too cold.
People are waking up to the over-population issue, but aren't responding fast enough, and we are running out of space and resources on this planet. Another planet, especially one close enough for us to get to would mean a solution, if only temporary.