That said, I do believe there is a massive overuse of hormonal contraception which is partially contributing to several negative factors in society right now. This should be addressed through education and informed consent (the Rx process isn't really doing this either, so...).
First of all: are you the person affected by this change? If you aren't, try and imagine being a person that was. If you cannot empathize at all with the other side, perhaps it isn't something you should be arguing for or against.
Second: does this vibe with how you would treat someone you normally would disagree with politically, if the position were flipped? Say there is something you think government shouldn't have a say in (apparently not family planning, but you can think of something... guns? business?) then have them argue 'it isn't such a big deal to have to jump through this bureaucratic hoop and the reasons we make you do this is are obviously not as overt as we pretend'. How would you feel about that argument?
I have a feeling you might be the type of person to think government should get out of the way of most things. Why is it not such a big deal in this case?