A lot of his base admires precisely those qualities you mentioned. They dig the idea of someone who appeals to their shared prejudices and wields power capriciously and cruelly. Either because they think he will wield that power on their behalf, or because they wish they could wield that kind of power themselves and are enjoying it vicariously by watching him do it.
If he really meant this, there’d be no problem passing a bill to protect contraception access. If there’s already no problem getting it, and you’re not intending to prevent people from getting it, a bill protecting access is at worst window dressing and harms no one.
I can only conclude they are intending to find further ways to prevent people from getting contraception, and don’t want this bill to get in their way.