My impression of educated younger Americans is that they don’t mind homosexuality at all.That impression is assuredly correct, but TAE's raison d'etre is to validate stereotypes, so please indulge me as I do just that.
The GSS doesn't explicitly ask respondents how they feel about homosexual acts, but support or lack thereof for same-sex marriage provides a pretty good indication of their sentiments. Among those with at least 16 years of education (equivalent to a bachelor's degree or more), aged 24-30, from 2008 and 2010 for contemporary relevance--that is, among contemporary educated younger Americans--63.6% support it, while only 21.5% oppose. Among the broader public, 42.7% support it and 44.4% oppose.
GSS variables used: MARHOMO(1-2)(4-5), AGE(24-30), EDUC(16-20), YEAR(2008-2010)