Those who back Trump are going to be outraged whatever happens. I don't think there is much profit in trying to pacify them.

Those kind of considerations might affect how the Attorney General determines whether to prosecute, but I can't see tgem prefenting other court challenges for Trump arising from Jan 6th.

So far as the questiin of constitutionality is concerned I'd have thought the only body with any authority to decide is not the Senate but the Supreme Court. The Senate doesn't have any authority to determine that kind of thing, only its own procedures within the liits of what the Constitution provides. . know the court shies away from any involvement with the matter of impeachment, as being a purely political matter, but a question of constitutionality should never be seen as a purely political matter.