It's not the science itself which is subjective, it's people's views on science which are subject to personal interpretation. Human error in the sciences does not make science itself subjective, it's simply one of those things we have to work around. It doesn't mean that you're free to interpret the data any which way you choose. Creative thinking is absolutely a must for problem-solving in science, yes, and I'm personally a very right-brained scientist, or at least a student aspiring very much to get a degree in a couple scientific fields, so I'm not saying creativity and science are at odds, quite to the contrary! But just because someone believes that, say, H20 is 19 grams per mole doesn't mean it actually is 19 grams per mole.
There is a real problem that has plagued the sciences for centuries, however. Group consensus builds to the point where science can build up a dogma around a model or a set of ideas, even if those ideas aren't quite right, or even if they're just flat-out wrong. The good news is that, in theory, scientists will be swayed by evidence, and one of the good things about science is that you can go back on your previous ideas, even ideas that you've championed, and you can actually be rewarded and heralded as a very good scientist for the very act of proving yourself wrong, and others would be right for saying so! The bad news is that sometimes dogma in the sciences can be very hard to shake, and scientists themselves are of course all too human. But that doesn't make reality other than what it is, it just means that we should exercise due care and caution when interpreting data and especially when coming to a final conclusion.
For lay people, I would say this: Do not assume that science has all the answers and that you can shrug your shoulders and say "I trust that science will figure it out," because that's no more intelligent than typing on a computer that "nobody needs science!" when you're using a product of science to say so. I hope, rather selfishly, that the day never comes when science has all the answers, because the principle joys of studying the world around us come from the questions rather than the answers, it's one of the reasons science can be a beautiful and deeply fulfilling, even spiritual thing. It, in and of itself, is not a new god. I would say that it is instead our means of studying the universe around us, and in so doing, perhaps gleaning some hint of how the old god thought. I am a pantheist, a Taoist, a psychonaut, a tripper, an aspiring chemist/astronomer/neuroscientist, and my studies are my way of incorporating my spiritual experiences into the world around me and doing my part to contribute to the rest of the universe. I wish I could more fully express how much it means to me, and how unfortunate it is when it's taken for granted or treated as an automatic fix. Science gives us the means to achieve our goals, but if we do not take it upon ourselves--and we must all take it upon ourselves--to cultivate the right mindset for its use, then it will be the means by which we destroy ourselves, and I can think of few things as tragic, unnecessary, and deeply perverted as the fatal misuse of the very thing that gives me joy and leaves me feeling fulfilled.