Both are paternalistic, theocratic, ideologically rigid, and reject the fundamental concepts of democracy. Both just use the mechanisms of democracy--whether they're in the minority, a small majority, or a large majority--to impose their different versions of Shariah Law on the rest of the population, secure in their certainty that God is on their side--and forgetting Lincoln's fervent wish that he could be on God's side instead.
The Republican Brotherhood gets itself elected through appeals to independents' fiscal conservatism, along with leveraging the corporatists' propaganda and patronage war on government regulation, piggybacking on aging White Southerners' continued hatred of the federal government for taking away their slaves over a century ago.
They get elected on fiscal/small government conservatism, but then when they gain power they immediately squander any spending gains with huge giveaways to their corporate patrons and ignore their "small government" mantra by imposing theocratic regulations of people's private lives, particularly where abortion is concerned.
They betray their authoritarian bent with things like laws and regulations requiring medically unnecessary vaginal probes--digital rape, in other words--and forbidding doctors from even mentioning the possibility of abortion.
And of course the Republican Brotherhood betrays its theocratic bent by trying to criminalize abortion every way they can.
But also, like the Muslim Brotherhood, they're crafty. They continually howl about abortion being murder--but then they let the "murderers" off the hook. That's the women and girls getting the abortions. If the Republican Brotherhood was true to its own beliefs they'd be trying to get getting an abortion declared premeditated murder, subjecting women getting abortions to the death penalty in death penalty states.
And they'd be doing the same to couples getting in vitro fertilization, since that entails discarding many embryos.
But the know America's women would promptly toss them out of office, so they reserve their wrath for the abortion providers--which also betrays their paternalism. Them wimmen just don't know what's right, doncha know? So we'll go after them men doctors who are leading them astray...
A majority of Americans have had it with the Republican Brotherhood, but the Brotherhood has now gerrymandered the states it controls so that even though they'd have lost their House majority in the last election if all congressional districts were apportioned on a nonpartisan basis, they retained control. Now they're exercising minority rule--the antithesis of democracy.
Likewise the minority of Republicans in the Senate are using every trick in the book to control legislation and appointments, and to cripple the Obama Presidency in every way they can, regardless of the effect on America.
The Republican Brotherhood functions as a primitive tribe, one whose beliefs are not to be questioned, with anyone who disagrees considered a traitor or an enemy.
Hence their rage at so-called Rinos--that is, people who would have been in the Republican mainstream before the party got commandeered by the aging, undereducated Southern whites who are now its backbone.
Within a few decades it will become a regional party unable to elect a President.
Meanwhile we have to contend with their persist efforts at voter suppression and gerrymandering and promiscuous filibustering.
And their efforts to regain their paternal control over women's lives and insert themselves between women and their physicians, effectively seating themselves in the doctors' offices.