I guess I should read Bloodlines then 😛
However, even if half the senators secretly support the First Order, the fact that they are trying to incinerate them and the planet around them should make them reconsider their allegiance. They might have been the ones making the Senate drag their feet on getting back to Leia, so what if the dialogue goes like this:
“There is strong opposition your request, General, but give the Senate more time and I’m sure we can get you your fleet.”