Hmmm. Actually try binomial unquoted but with brackets as a function call.
family = binomial()
EDIT:
The following 3 examples all work , and give same result
(model_a <- glm(formula = vs ~ mpg, family = binomial, data = mtcars))
(model_b <- glm(formula = vs ~ mpg, family = "binomial", data = mtcars))
(model_c <- glm(formula = vs ~ mpg, family = binomial(), data = mtcars))