The correct answer to this open question is the following.
Republican congressmen aim to legislate a bill related to "the right to work" because they want to support businessmen instead of unions. The "right-to-work" legislation establishes that employers and unions cannot force workers to pay dues to unions in order to work. Although there would be a union in your workplace, if you do not want to be part of that union, you are free to decide to not pay anything and have no consequences for avoiding the payment. You still work as normal.