I think monks and or any religion practitioners should not be shouted at each other regardless it's on the street or behind especially Buddhism which teach loving kindness to all beings.
I have met a few monks who are based in a monastery in Nepal. They faced a lot of difficulties when the ban just announced, they couldn't get food supplied from the shops that propitiated to HHDL nor transportation. Even someone will scolded or throw things at them, they remain calm and not responding by doing the same treatment that they received from the public. To them, they know they are not doing any bad, theirs guru will not be wrong, theirs linage can not be wrong, since they are not wrong but clear that whatever they are doing are not opposite from their vows, they will not need to explain to others, they endure the pain.
This has been mentioned in the 8 Verses of Mind Transformation. We should not fight back but offering the victory to whoever is mistreat us.
If someone who is not sure about the whole situation, he/she should not make any comments on it. For a lay person or whosoever is a Buddha Dharma follower, we should not insult any mankind who taking up the monk vows no matter what they did, and this is one of the basic teaching of Buddhism.
So this is not about who's wrong or right, by hurting others thru any actions no matter you're wrong or right, it still bring bad karma to us, hence we should hurt other then.