In terms of racial minorities I don't find their positions that bad for the most part. The potentially significant exception to that being immigration, but I'm willing to give most of the right a little benefit of the doubt and assume that non-racial reasons are their primary motivation.
However, the right's constant pushing of Christian values with government action does show disdain for minorities. Between protesting "happy holidays" (despite the fact that there are multiple holidays in the month of December and some of them pre-date Christmas), wanting to limit gay rights (it wasn't long ago that many states still had anti-sodomy laws), and demanding at minimum government lip service for their religious beliefs (like supporting the 10 Commandments on government property despite the fact that at most only four of them have to do with modern laws and the other 6 either don't correspond to any standing US laws or directly contradict the US Constitution), they show little to no respect for religious minorities. So since the poll was opened ended on what kinds of minority rights were being attacked, I voted no on the theory that the Republicans are willing to do very little to support, and often are diametrically opposed to, the rights of religious or sexual orientation minorities.