The opposition, especially the remaining anarchists, would be more ruthlessly persecuted.
Given that Salazar by that time, had already coopted or shun away potential conservative reformers, it is commonly believed that he would be replaced by someone more right-winger (possibly a member of his government).
This opens several interesting questions, and changes the internal dynamics of the regime. If Salazar is replaced by someone even more right-winger, he would potentially alienate all the coopted elements of the old conservative republican opposition who supported him for fear of getting back the First Republic and its instability. This would help make Carmona very weary of whoever succeeded Salazar (he was not a fan of Salazar and was a means of appeasing and securing the military support) and prone to help depose such person, and WW2 is a few years later, in which case it is possible an Axis Portugal, but where the government would have even less support, making possible a change of regime to a pro-Allies regime during the later stages of WW2.