Don't think any. They are not communists.
The targets for the anger of the Red Shirts are the "wealthy elite". A certain proportion of this group are in fact the ethnic Chinese and obnoxious rich Thai that disdain the poor and flash their Rolex's. Everyone has seen and been disgusted by them and their very "unBuddhist" ways. However the far larger target group are the educated middle class and talented entrepreneurs who have raised the country from the agricultural third world. TRT went after foreigners, the red shirts are class warriors. It seems a lot like Obama to me. Then there is Thaksin's Saturday night promise to return and lead a "Long March" to Bangkok.
Not Communist but willing to use any means to return to power.