My anecdote: I went to yoga the same night at the same small studio for years. Mostly the same people showed up every week but I didn't find it to be an atmosphere good for socialization at all. I don't know at what point in a yoga class you'd have time for conversation.
Maybe afterwards when people are gathering up their stuff and heading out. There is always something to talk about, i.e. how you liked the class, was it hard or easy, etc.
This may vary a lot depending on ages, genders and past class experiences. If you're male and the class is largely not, trying to strike up conversations may get you quickly labeled 'creepy pickup artist.'
Some might think that but it doesn't really matter. You can meet tons of people who'll just want to chat and hang out. I do it and I see other males do it.
I get you, not every studio has that kind of vibe. I go to a few different ones, and I've made tons of friend at one of them, while talking to people at other ones hasn't been as fruitful.