The problem with meat is not that we eat it, but that we eat too much of it.

This isn't how it works. Consuming meat and cheese and butter and other animal products has been made into a conspicuous consumption deal for a long time, it's a status symbol, obviously important to pastoralist cultures and their industrial descendants (like The West).

You can't do "low meat" without first attacking the status power of meat.

People would go crazy and riot over reducing it, as it would most likely manifest as:

1. Rationing of meat (I've lived in this, in Romania, a long time ago) - possible, but hard, not really something that works in capitalist market economics.
2. Raising the prices (which is something that the animal farmers would love) - which would cause all sorts of ..."so meat is only for rich people? FUCK THAT!" reactions.

If you don't do those, it's just going to be imported.

If you ban imports, you're going to get a meat mafia. Meat bootleggers. The "leather underground" mafia and terrorist organization.

You may actually get to see this, since the prices are destined to shoot up eventually, since it's so unsustainable.