Is a grammar pendant also more intolerant of petty crimes? I could see language errors as a sort of crime against the rules we as a society made.
Now that I've identified myself as a spelling pedant, the answer is: Not in general.
Judging by the people I've met in life (yes, selection bias ...) there is no correlation.
[Disclaimer: This post is bound to contain grammatical errors. I'm not a native English speaker.]
Unless you mean these grammar rules: http://chronicle.com/article/50-Years-of-Stupid-Grammar/2549...