Kagan writes in reference to R. A. V. v. City of St. Paul in the paper 'Private Speech - Public Purpose'...
http://www.scotusblog.com/wp-content/uploads/2010/03/Private-Speech-Public-Purpose.pdf
Indeed, half hidden beneath a swirl of doctrinal formulations, the crux of the dispute between the majority and the concurring opinions concerned the proper understanding of St. Paul's motive in enacting its hate-speech law.26 The majority understood this motive as purely censorial-a simple desire to blot out ideas of which the government or a majority of its citizens disapproved. The concurring Justices saw something different: an effort by the government, divorced from mere hostility toward ideas, to coun- ter a severe and objectively ascertainable harm caused by (one form of) an idea's expression.27
And she goes on to say
What I have argued in this Article is that most of First Amendment doctrine constitutes a highly, but necessarily, com- plex scheme for ascertaining the governmental purposes under- lying regulations of speech.
But it appears to me that motive was not really an issue because both opinions (majority and concurring) in R. A. V. v. City of St. Paul ruled the law unconstitutional. That is, it was an issue as to why there were two opinions, but the final judgment of both opinions was the same, and hence motive was not such a decision point.
???? Any insight into this ????
Another point .... from wiki ...
"Therefore, the Court accepted the Minnesota court's conclusion that the ordinance reached only those expressions that constitute "fighting words" within the meaning of Chaplinsky."
Thus the court had to interpret the law as applying to 'fighting words', which is completely absurd as that is not how the law is written, ..... but given that that was the case, then Kagan's claim was that the government motive was to 'blot out' ideas seems absurd, as one doesn't blot out ideas by proscribing 'fighting words'.
Again, any insight there marksman ????
The law provided, as per wiki ....
"Whoever places on public or private property, a symbol, object, appellation, characterization or graffiti, including, but not limited to, a burning cross or Nazi swastika, which one knows or has reasonable grounds to know arouses anger, alarm or resentment in others on the basis of race, color, creed, religion or gender commits disorderly conduct and shall be guilty of a misdemeanor."