You can specify INTERCEPT (or INT) as a random effect to indicate the intercept. PROC MIXED does not include the intercept in the RANDOM statement by default as it does in the MODEL statement.

Random effects logistic regression models are often used to model clustered binary response data. Regression parameters in these models have a conditional, subject-specific interpretation in that they ...

Recently, Wang and Louis [Biometrika 90 (2003) 765-775] proposed a random intercept model in the clustered binary data setting where the marginal model has a logistic form. An acknowledged limitation ...