Linus was able to out-compete a team of hundreds of Microsoft Engineers who spent years building a Source Control system by himself within a span of 10 days when he built git.
You can't take Microsoft Source Control, add a few stories, and end up with git in a Sprint. You can't split that work up between different teams.
The essence of git is in a unified design that matches the essential complexity of source control requirements. When you play the game of telephone from user to sales to program manager to project manager to architect to lead developer to UX designer to DB modeler, each step along the path introduces errors. Those errors made the system harder to design for, harder to scale, and harder to use.
Linus was able to cover every element of those to a passable degree himself. You need to empower your developers. If they don't use the product, if they are not dogfooding, you have no chance to compete against those that are.