Honestly, I think (and you'll find many others in a similar boat here at VB
) that it's easier to just go cold turkey (so to speak) on the cheese. I've found one or two that don't taste too bad (Tofutti slices, in a sandwich, and white cheddar Cheezly, mixed into something). However, I could easily eat them never again and be quite happy. Some folks however, really dig the faux cheese. For me, it was easier to try and find something that satisfied the desire for salt/fat. Fried hummus sandwiches do in a pinch for grilled cheese. Nutritional yeast sauce makes a nice mac and cheese, etc.
What kind of soya yogurt did you try? I wasn't a big fan of dairy yogurt at all, but I like the Alpro brand ones (except the vanilla, blech). You can get rice yogurt as well, but I don't think they're very widely available.
There are plenty of nice non-dairy ice creams. Swedish Glace is a favorite in our house, but we've had B'Nice (from rice) and Booja-Booja as well. The BB is wicked expensive though, because it a sort of luxury ice cream.
Congrats on your decision to go veg!