I honestly don't thing the right would. The left likes to parrot that to justify themselves but it is based on nothing. The right has a different way of bashing the left and power grabbing - usually in the form of comparing lefties to Hitler or some such. They are not better but they do tend to use different methods
Oh, yeah, it's the RIGHT that screams, "Just like Hitler!" every other breath.
Shall I bring up MoveOn.org's advertisement contest, where they posted TWO entries that compared Bush to Hitler on their website, before outcries forced them to pull the ads?
How about these quotes:
"I see no difference between the invasion of Iraq and the invasion of Poland in 1939." - Scott Ritter
"Few Americans believe the Bush Administration itself brought down the World Trade Center last year. But the conviction is widespread throughout Europe and the Muslim world, and for good reason. This unelected regime---Hitler also came to power with a minority of votes---has used the terrible tragedies of September 11 in much the way the Nazis jumped on the Reichstag fire." - Harvey Wasserman, Greenpeace USA
" This list [of perceived misdeeds], while far from being complete, represents a very clear picture of what the Bush administration and Republican agenda is all about. It is about helping the oil industry, large conglomerates, and the wealthy. It is about a never-ending war against terrorism. It is about showing contempt for the American citizens. It is about developing a dictatorship, in much the same manner as that used by Adolf Hitler, through propaganda and fear.
I certainly support ending terrorism, but I believe terrorism is simply being used by this Administration in much the same manner as Hitler used it to gain control and maintain a hold on the people of Germany. [...]
Bush continues to have rather high approval ratings, as reported by the media. Is this an indictment of the American people's lack of political knowledge and their blind support of the fight against terrorism? Or is this another example of being controlled by the mainstream media? [...] Or does it show how instilling fear into the people is being successful, much as it was for the Nazis in Germany? " - Democratic Underground
There are whole websites detailing the literally hundreds of public "Just Like Hitler!" comparisons, and that's just for former President Bush.
The Gallery of 'Bush = Hitler' Allusions
But it's the RIGHT that has a problem with this.