"Pursuing objectivity can lead to false balance or misleading 'bothsidesism'" [realfreedomtalk.com]
It's impossible to be objective when you are the subject observing the object.
Objectivity works in science where the environment is controlled and observations are made thru some instrument or filter. It's application in the social sciences is very difficult. The environment can't be controlled and the filter is statistics. The same problem arises in any attempt to analysis any complex chaotic system. A saying from computer science is fitting here, "garbage in garbage out".
A helpful trick to being objective when observing politics or other social issues is to pretend your an alien observing human behavior. You will never be completely free of your prejudices or life experiences but you can filter out the most distorting elements by taking a third person stance. Controlling your emotions helps.
I'm not suggesting that experience isn't helpful. We acquire many thinking tools throughout life. Like anything else however it's not the tool but the craftsman that determines the quality of the end product. It's just going to be a lot harder if our tools are blunt. Acquiring good thinking tools and keeping them sharp is lifelong process. Math, logic, statistics, good literature are all useful tools in part because they force us to be disciplined. Experience sharpens our intuition. In the end though it is important to remember that many discoveries are accidental and keeping an open mind helps.