What exactly do you need to change? The two demos are very different. The construction demo has different elements, options and sliders that make it have that look. All these settings are present in Tower options, Styling Options (screenshot). You only need to find and customize them like that.
If you want the site exactly like construction demo, then go to Tower > Import/Export (Dummy Data) and import the construction demo. Be careful because doing so, the options will be overwritten and some pages added.
Thank you for your swift and helpful response! I think importing the dummy data for the construction theme will most effective since my client clearly wants this one.
