There are grounds for challenging these laws. Yes, the SCOTUS approved an Indiana voter id law but htat law is very different from these laws. One key difference is that it is possible under the Indiana law to get a free id without a bith certificate. http://caselaw.lp.findlaw.com/scripts/getcase.pl?court=US&vol=000&invol=07-21&friend=nytimes In footnote 18 of Justice Stevens opinion, the fact that the Indiana statute did not require birth certificates was important to the court
Footnote 18
As petitioners note, Brief for Petitioners in No. 07-21, p. 17, n. 7, and the State's "Frequently Asked Questions" Web page states, it appears that elderly persons who can attest that they were never issued a birth certificate may present other forms of identification as their primary document to the Indiana BMV, including Medicaid/Medicare cards and Social Security benefits statements. http://www.in.gov/faqs.htm; see also Ind. Admin. Code, tit. 140, §7-4-3 ("The commissioner or the commissioner's designee may accept reasonable alternate documents to satisfy the requirements of this rule" .
I doubt that you can get a free id under your law without a birth certificate.
I am lucky in Texas in that we have the Voting Rights Act. However, voter id laws are being attacked in Wisconsin and Penns. right now and the lawsuits in Wisconsin have so far been successful.
Keep the faith and contact the ACLU. I have no doubt that they will sue on this law and try to get it declared invalid