S.E.
Evanston is fantastic and I love living near the lake. I had a friend in OP who loved that, also. But for me, the lake is a big draw all year round, as is the easy commute to the city on LSD, EL or Metra.
Re: integration, it depends where you are. North Evanston is very "north shore" and more like its neighboring Wilmette. Not bad or anti-integration, but it's just a fact that those bigger houses on the north shore attract a less diverse population. Mid to south Evanston is very diverse and well integrated. Our neighborhood school has kids from something like 120 countries. Seriously. I think many are here with their parents at Northwestern, but there's a lot of diversity and integration in the neighborhood as well.
There is a terrific community feel, tons of great parks, lakeside festivals and concerts all summer. Great camps for kids. All kinds of cultural things through NU. Great restaurants and downtown areas. So many people here are originally from here -- they move away for college, etc., and move back from all over the country/world as soon as they have kids because it's such a great place to raise them. I think that speaks very highly of the place.
Re: crime, I feel as safe as I do anywhere walking at night. We've been here for ages and have never had any issues.
Good luck making your choice!