Farming sector as a whole is heavily subsidised in most of Europe, but that doesn't mean everything you do as a farmer (and every crop) is subsidised.
Eg potatoes grown for eating are almost completely unregulated and unsubsidised in the EU. Similar with grapes grown for eating. In comparison with potatoes grown for starch and wine grown for grapes. It's crazy.
To be fair, without subsidies only fools would grow wine for grapes! (Sorry, just my way of pointing out a minor typo. If you edit without replying to me I'll delete this.)
In general food production enjoys heavy government support...
... but then again, many industries do too. Libertarian tech bros think they are "self made" even in fact the government supported them with absolutely massive support, from government tech purchasing to supporting R&D and higher education to tax breaks to deregulation and more.
Your average industry can't enjoy net subsidies: the money has to come from somewhere, so you have to tax at least as much as you subsidise. (Modulo shifting taxation around over time via debt.)
Though I'm not sure what you are trying to say with your comment? Just because someone is in favour of reducing subsidies, doesn't necessary mean they want to abolish the government?
Just like Bob being in favour of a weightloss diet for a morbidly obese Alice, friend doesn't mean Bob wants their normal sized friend Charlie to starve himself to death (nor does Bob want Alice to continue losing weight once she reached a healthy weight).
The fact that you wrote this in reply to me makes me think you missed the point of my comment, which didn't actually have anything to do with subsidies - I was just pointing out they "growing wine to make grapes" is the wrong way round ;)
Eg potatoes grown for eating are almost completely unregulated and unsubsidised in the EU. Similar with grapes grown for eating. In comparison with potatoes grown for starch and wine grown for grapes. It's crazy.