There is nothing wrong with being analytical. We all are, just to widely varying degrees. Here is the description of the Analytical personality characteristic as defined by The Gallup Organization.
Personally, I seek out people with analytical skills because it is not one of my strengths. When proposing a new idea, they are the ones who can quickly figure out what will work and where the issues are.
The only cons are when their analytical skill goes into overdrive. If they drag their feet by digging too far or they immediately say, “Give it up; it won’t happen.”