If you're blogging, posting your opinions or thoughts to social media or other forums, sooner or later people are going to disagree with you. Some will be nice, some will be nasty. You just have to accept it. In fact, you could make the argument that if you're not getting enough bad responses then your content isn't as original and sparkling as you hope it is, so negative comments could be a good sign. As the common variation on Abraham Lincoln's saying goes
You can't please all the people all the time
Nor should you try! If you want fans of your writing and your content, you're going to have to have people that disagree with you, not just neutrals. If they're neutral it means they don't really care all that much.
The US Air Force Flow Chart Solution
They say the US military have a manual for everything, it may be true with their recent infographic outlining how US Air Force personnel should engage with bloggers.
Although it was created to clarify how people in the organisation should handle negative stories, posts and opinions that they find about the USAF, it's still very helpful.
They wisely differentiate between types of unideal posts. Are they from someone who is reasonable and simply states a case of an opposing viewpoint sticking to the facts or are they highly emotional, ranting and venting?
They also urge their staff not to fly off the handle, but always take a little time and write a quality, measured response if a response is called for at all, good advice. Sometimes it's more suitable to just 'monitor'. For many normal people you could substitute 'monitor' for 'ignore'.