Tyrrhia: Replace "globalist" by "racist" and "far-right" by "lefties" and you get the same results. Words are just that—words. What happened to your (general) psychological strength that you feel offended by any- and everything?
Your comparison is flawed in that most of the left (barring perhaps a minority of hardcore communists, to whom even parties like the German CDU and French UMP are far-right) can distinguish between right wing, hard right and far-right. I guess similarly to the way that those on the far-right refer to any political opponent as "lefties", "liberal loonies" or whatever.
Positioning on the political scale can be a matter of perspective, but racism does have a fairly absolute definition, in that if you judge, act against (or indeed, in favour of), or incite hatred against a person based on their race or racial characteristics (which includes the ubiquitous "racialisation" of religious individuals), you are racist.
The problem with applying this principle to globalisation is that (a) globalisation is a largely political view and so more nuanced views are possible on it and (b) you cannot directly make someone's like difficult by being pro or anti-globalisation. Personally, I am actually fairly neutral on it - I am neither pro nor anti-globalisation per se, although I do have anti-opinions on various aspects of it.