My DD has absolutely loved WS in EPCOT since she was 2. She is 9 now. There are a ton of characters to meet. There is the boat ride in Mexico. There are entertainers- bands, jugglers, acrobats. There are the Agent P (Phineas and Ferb) missions that your 6 year old will probably love. There are the Kidcot stations in every country (your child can color a Duffy or Agent P and take it around to the other countries to get a country stamp and talk to someone from that country). Even without F&W WS has always been an all day (after that area opens) place for DD. When you go to F&W right when WS opens the lines for the booths are fairly short. If the kids are too bouncy to stand in line, it is very easy for one parent to take the kids to watch entertainers, or a Kidcot station, or do an Agent P mission and then switch off while the other grabs something in a F&W booth in the area and then switch places so the other parent can get something. We do that all the time. DH and I usually pick different items and booths at F & W anyway, and even if we both want to share something, he can go get it and bring it to wherever I am with DD.
As far as the drunks, it is much better earlier in the day. Later in the evening and when it gets near park close is when it can get wild. We really thought the only day it was overly wild in the evening was on Saturday. I don't think we saw anyone puking in the bushes, but we did see some idiots climb in a fountain and at least a few people who clearly appeared to have been drinking all day. It actually worked out well, because it provided a few teaching moments for DD which I'm hoping she will carry with her when she is older- she has not forgotten it and claims she fully intends not to drink enough to act like that when she is older. Other than Saturday night, the evenings were much more crowded than the early afternoon and the booth lines were longer, but we didn't see that many people too far out of hand.