The only way to remove the Coup is to render it ineffective at fulfilling its function for the global corporate elite who installed it.
If you want to replace the Army Inc as your regime, with an Islamist regime, but you do not want to liberate yourselves from the control of the multinationals, it will have to be a neoliberal Islamist regime, approved by the corporate imperial masters, who will enthusiastically pursue the same policies of economic sabotage and enslavement that the Coup is imposing now.
An Islamist regime subordinate to global corporate power is preferable to a military regime subordinate to global corporate power; Islamist Inc rather than Military Inc; just because of the social impact on attitudes and public behavior…but do not imagine that it will achieve any changes beyond that.