I'm not sure those degrees would make much of a difference. I've looked at CS curriculum for a number of universities. They simply don't teach things like source control, SOLID, dependency injection, unit testing, design patterns, continuous integration, etc. These are the things that make a difference.

>http://it.slashdot.org/story/13/10/21/1652257/most-it-workers-dont-have-stem-science-tech-engineering-math-degrees