I ran into compatibility issues when installing a stand alone version of Visio Professional on a new Windows 10 computer with Office 365 installed. Install complained of compatibility issues with the Office Click-to-Run Extensibility Component.
I solved the issue by going to account.microsoft.com. I had registered my Visio product there 4 years ago and an install link and product key were displayed there. I clicked the install link and Visio installed without issue. Office applications still work too.