We have written much about Shmiras Ha-bris. One who is not shomer bris properly has no place teaching Torah, as the pasuk juxtaposes ובריתך ינצורו - יורו משפטיך ליעקב, they guard their bris, they teach your laws to the Jewish people.
If your Rav watches movies or television or uses the Internet for things other than Torah [or parnassa] related material - think twice about whether you want him to be your Rav...
Here is what HaRav Charlap told the chevra kadisha before they did the tahara on Maran HaRav Kook ztz"l:
