Yes, it would change. How long do you think the military should wait to integrate?
Historically, the military has been ahead of the curve in many civil rights causes. Who were the first blacks to be freed? Those freed by the Emancipation Proclamation, which allowed them to join the service during the Civil War. When did blacks become integrated in the military? 1948, six years before Brown v Board of Education outlawed separate but equal.
As for some ideas of how many people now support allowing open gays in the military, here's some links for you.
From Pew, on increased acceptance of gays in military:
http://people-press.org/report/273/l...litary-service
From militarytimes.com, on how there is no empirical evidence that allowing gays to serve has any noticeable detrimental effect:
http://www.militarytimes.com/news/20...litary_070708/
From militarytimes.com, an article stating that over 500 troops are serving while openly gay without yet being discharged:
http://www.militarytimes.com/news/20...troops_080108/
From ABCNews, a poll showing that nearly every major group is in the majority for supporting openly gay soldiers:
http://abcnews.go.com/PollingUnit/Po...5387980&page=1
Finally, from Zogby, a poll showing that the majority of troops are fine with openly gay soldiers:
http://www.logoonline.com/news/story...entTypeID=1299
All the evidence shows that a majority of people are for allowing openly gay soldiers to serve.