At that point you aren't being punished for the (hypothetical, in this scenario) "crime" of eating meat, but instead the crime of not obeying your sentencing.

In the same way if I refuse to pay a parking ticket they can (eventually) lock me up for noncompliance. You wouldn't make the argument that I'm being locked up for a parking ticket in the same way no one would argue you bring locked up for avoiding your community service sentence is akin to being locked up for eating meat.

Granted, a less extreme approach would just be to tax the everliving shit out of meat production and use the proceeds to mitigate the environmental impacts as well as provide assistance for the lower income families who may be otherwise disproportionately impacted. Sin taxes can be very effective if done properly.

Either way, you're just being hyperbolic.