Two Electoral College Maps

Both of these maps try to convey how Republican (red) or how Democratic (blue) a state currently is. White means toss up, the state can either go red or blue on November 8, 2016. 
The first map shows the geographic size, the second shows the number of electors per state*, each hexagon representing one electoral vote.

What struck me, while working on both of these maps, is that the first seems to show the US as more Republican than Democratic whereas the hexagon tile grid map shows the Democrats as the dominant force.

I wonder how much people see the ubiquitous geographical map as the “true” reality while it obviously distorts it. And I can imagine that people who feel the “game is rigged” are the ones who only saw the geographical map or never understood the difference between the two maps.

The underlying question here is: How can we prevent that people memorize distorted images of reality (which can have disastrous after effects)? And what is the best way forward for data visualization practitioners?

*Note:
The Electoral College is a process which culminates in the election of the President and the Vice President by 538 electors.
The number of 538 electors is the sum of the nation’s 435 Representatives, 100 Senators, and 3 given to the District of Columbia.

The Electoral College Ratings in the maps above are from The Cook Political Report.