Virtue signaling in this context means that actions of individuals are directed mostly at people within their political and social group, not outside it.Why is this a bad thing? Are you allowing for the possibility that it's easier to eventually sway outsiders if one first builds momentum with a significant group of like-minded people? Isn't it in fact very common to start by getting like-minded people to agree on a shared platform of ideas and actions, and then move toward convincing outsiders of the correctness of that shared platform?
Indeed, in this political climate, where silent majority is actually in favor of the ban, to be in favor of it in the social circles of coastal elites could be harmful to one's well being.
"Coastal elites" is a term lacking empirical content. However, the majority of Americans who voted did not vote for Donald Trump, and there is no evidence to support your assertion that a majority of Americans in general are in favor of the immigration order; if by "coastal elites" you mean "people of generally socially-liberal political leanings who live in major urban areas", you are in fact contradicting yourself since evidence suggests such people are the majority of Americans. You are hopefully aware that the American electoral system is designed to disproportionately represent minority populations, which is why the popular-vote winner did not get elected President.
When "their" people do the same or worse things, there's no protest or condemnation.
I have yet to see an assertion of "same or worse things" being presented which A) holds up to scrutiny of the "same or worse" assertion and B) was not protested/condemned. For example, many socially-liberal people expressed condemnation of Obama's immigration and foreign policy stances, expressing regret because they hoped he would break from socially-conservative approaches. Do you ignore this fact?
People on the right are prone to this too, but seemingly to a much lesser extent. In particular they don't seem to care much about protests.
If "people on the right" "don't seem to care much about protests", what is the Tea Party and its large rallies? What is the NRA and its mobilization of people? Why are there so many protests at Planned Parenthood locations, to the extent that those locations routinely need to implement strict security policies to ensure safe access to facilities?
Additionally, are all of those groups just "virtue signalling"? Do you equally condemn them, or do you only bring out such comments when a group you disagree with is protesting?
In other words: do you have a coherent position here, or are you simply engaging in the very practices you condemn?