Yes, the weird meme (that is America's fault) that right-wing = limited government, left-wing = big government is a direct contribution to this POV.
Hitler was a right-winger in a right-wing party. Perhaps you can make an interesting debate about whether the Strassers etc. can genuinely be called left-wingers, but Hitler was an ardent conservative, who allied with the big landowners and industrialists, who crushed the independent trade unions and their affiliated groups, who opposed "decadent culture", who got the majority of the vote from the Middle-class and who was initially reliant on monarchists and right-wing nationalists to enter government.
If the Strassers were indeed left-wingers, then all "left-wing" elements were definitively purged in 1934, which futher disproved the "Hitler was left-wing" silliness.
