We were there this year during Gay Days and didn't notice much of anything. Our last day in Disney was Saturday, June 2nd and we had to spend it at the MK.

Just couldn't leave without seeing the castle one more time even though we were there 11 days and at the MK for four.
Anyway, that day happened to be their designated park day for MK. We didn't arrive until after 11 because we had an early breakfast at Chef Mickey's and then we had to return to the hotel and finish packing. By the time we returned, it was very busy. My kids never noticed anything and we saw lots of red shirts. Some were just plain red shirts with no writing, some were "official" gay days shirts but with nothing offensive. Now, we did see several red shirts with very insinuating meanings. Mind you, it wasn't anything "bad" but the adults knew what the shirt meant. My kids, 11 and 6, didn't have a clue.
It never occurred to me to "report" anyone to Disney as being vulgar. I guess if we had seen something really obscene then we would have. Luckily my kids were so into the rides and everything they didn't notice what was going on around them.
There was this really nice guy who lived locally that I talked to on the way from the TTC to the monorail. When we were waiting in line for the monorail he even made sure that we knew that we could ride in the front. I was too embarassed to tell him that I already knew.

When we saw him later that day, my DS said, "Oh look Mom, there's the new friend you made this morning."
Anyway, we've traveled during this time before and I think it's a great time to visit.