To a large extent yes but the student body is just diverse enough for one to only be friends with students that don't meet that stereotype if they want.
On intellectualism: You can not go to a party where everyone is wasted and somehow not get involved in an intelligent conversation. This part about Brandeis is absolutely wonderful for people who like to discuss (get this!) Israeli/Palestinian politics, Plato, Aristotle and sex, or what the stupids are doing wrong when handling the economy.
On quirky/awkwardness: If you are a "normal" person this might take a while to get used to but in the end, you will be that much more capable of dealing with awkward coworkers. These include people that don't understand that you don't want to talk to them, or people that talk about coming from outerspace. And yes, they actually do exist at Brandeis although most students seem to only be slightly awkward to a level where you might only notice something they do is unusual once every month or so (a very respectable awkward level that is probably where most "normal" people align).
On Upper Middle-Classness: Most students are in fact privileged but there are many that are receiving financial aid and working hard to make ends meet as well. Some students don't seem to mind getting $700 worth of parking tickets by parking in the living quads, while others work 20 hours a week. A few students don't realize that each hour of instruction they blow off due to a hang over costs approximately $300 (or more), but again... you have quite a few down-to-earth and in touch students. Most are not arrogant rich kids that take everything for granted (this is just an obnoxious handful that you only meet before knowing better- during orientation).
On Jewishness: Tufts University actually apparently has more Jews than Brandeis does which is somewhat surprising to find out. A nice aspect about Brandeis is that you get to learn the different Jewishnesses: religious, ethnic, identity, etc. Beyond that though, the campus is diverse enough where most of your friends could not be Jewish by coincidence.
On Parental Involvement: I've heard professors mention receiving parent phone calls and I know that the administration, health services and public safety receives its fair share. Some students speak with their parents everyday, others speak with them once a month. Again, this part probably isn't unique to Brandeis, rather it just depends on who your friends are and how independent they've been raised.
On Athletics and Hotness: Brandeis not so much. We do have some teams that are fairly successful (basketball, ultimate, I can't remember because I don't care) but one of the awesome aspects about Brandeis is that if you weren't picked first for games, then you'll be amongst your peers. This means you can actually join the Ski Team (which has the coolest assortment of kids on campus), or something like Rugby (we don't have a football team) or Ice Hockey. Many students don't really pay attention to Brandeis athletics, and the athletes (you can tell who some of them are because they are a foot taller than everyone else) don't seem to make that many appearances in public places other than the gym. The rest of the student body seems to like spandex and Uggs and mismatching colors.