I'm working on a project where the main independent variable is binary. We then interact this variable with different continuous variables. The binary variable is by far the most significant variable in the model (t stats ~20) and the variable is always positive. Now, when I introduce an interaction term between this highly significant binary variable and a continuous variable, the interaction is virtually always significant and positive.

I'm afraid that the highly significant binary var drives my results. Would this be a valid concern? Perhaps you have some suggestions in how to address this issue.