It's completely inappropriate for a dozen reasons; ethical and practical.
First of all, you're making a gross assumption in the sort of person who might consider an abortion an option. The way you've set the stage, every woman who seeks an abortion is an irresponsible, cavalier, promiscuous, consequences be damned, slut. It's just not true. Accidents happen to even the most careful, and contraceptives fail. The individual has demonstrated a lacking ability in decision making? How? Have you ever had a condom break? It slip off? Ever heard of women getting pregnant despite a depot shot, or being on the patch or pill? It happens. You're backing policy that caters to the absolute caricature worst case scenario, not to the very grey and gradient reality.
Secondly, five years is a HUGE chunk of time. What sort of life changes (ideal, beliefs, financial circumstance, educational level) occur in five years? If a woman is sexually mature at (for convenience, I understand it's a very late side estimate) 15 and goes through menopause at 45 (the window is even more narrow as pregnancies occurring beyond mid-thirties are considered dangerous and the likelihood of down syndrome and a slew of other defects sky rocket,), you're talking about a significant chunk of her child-bearing years. The reality is that the majority of women seeking abortions are CHILDREN themselves, with zero ability to care for themselves, let a lone a child. However, that same woman, as immature and irresponsible as she may be at 19 or 20, could go on to finish college and be married by 23.
I could go on and on about why forcibly tying a woman's tubes for five years is a gross abuse of governmental authority (nevermind the potential health risks—also, there ARE alternatives to a forcible, dangerous, invasive procedure....removal implants?), but honestly, if you would ever even entertain the idea of such a radical procedure, it's clear that we're so far from a common ground that it would be a waste of my time. The good news is that your not a policy maker, and that you're oversimplified view of the issue (which I also suspect is tinted by some sort of half-assed lazy racism/classism by the way) is not shared by those that are currently shaping policy.