The police aren't the greatest example, because everyone wants to "support" the police no matter what. For example, when Wisconsin Republicans eliminated collective bargaining rights for public employees in 2011, leading to massive protests at the Capitol, they actually exempted police from the new law, so police still had collective bargaining rights.
Keep in mind that many leftists, who are generally very supportive of labor unions, still want to "defund the police". So the narrative is kind of flipped here.