How Unpopular is the Republican Party?

Very:

In my decades of polling, I recall only one moment when a party had been driven as far from the center as the Republican Party has been today.
The outsize influence of hard-line elements in the party base is doing to the GOP what supporters of Gene McCarthy and George McGovern did to the Democratic Party in the late 1960s and early 1970s — radicalizing its image and standing in the way of its revitalization.
In those years, the Democratic Party became labeled, to its detriment, as the party of “acid, abortion and amnesty.” With the Democrats’ values far to the left of the silent majority, McGovern lost in a landslide to Richard Nixon in 1972.
While there are no catchy phrases for the Republicans of 2013, their image problems are readily apparent in national polls. The GOP has come to be seen as the more extreme party, the side unwilling to compromise or negotiate seriously to tackle the economic turmoil that challenges the nation.

How about the GOP as the party of "God, Guns and Gay bashing?"  It doesn't cover all of the idiocies of the party, but definitely highlights some of the main talking points.