Aside from its football program, I know very little about Virginia Tech. It's a state-run university, right? If so, am I correct in presuming that it's a typical ultra-liberal government institution?
Depends on the department. The Liberal Arts tend liberal, but the school is known for its Engineering, Agriculture, Vet Science, and Business/Architecture programs (not to mention an excellent ROTC program), which are not known as liberal hotbeds...
You can presume that to any state-run or public school institution, in fact to about 95% of all private education institutions as well. In fact you can presume a liberal, left-wing, socialist, pro-LGBT, pro-Islamic, anti-gun politically correct slant to pretty much all Fortune 500 companies. 80 years of socialist indoctrination in the school systems & socialist programs instituted by the states & federal government have succeeded beyond their wildest imagination, even with the demise of the Soviet Union.