I have the 1.5kW water cooled Chinese spindle with matching invertor/VFD and it will cut those materials . But the max collet size is 1/4 inch (just over 6mm). So I would go for the 2.2 kW spindle which goes up to about 1/2" collet size.
You can go air cooled but there is some noise from the fan and a minimum running speed I seem to remember so most people go with the water cooled one.
Cheap cnc machines sometime come with a small DC motor type but these don't get great reviews on here (no personal experience)
What machine are you fitting it to? Or is that not decided ?