They can’t. The USSC won’t let them.
http://articles.latimes.com/2013/jan/14/news/la-pn-supreme-court-rnc-voter-fraud-20130114
The RNC can’t do it, but you and I can!
The case you cite and link to only restrains the Republican National Committee. It does NOT apply to Republican officeholders or other Republican or "conservative" groups. In fact, a number have raised the issue of election fraud cogently.