The people hardest hit on the wizarding end would be restaurants, craftspeople who manufacture things optimized for wizarding use but don't do the enchantments themselves, and also entertainers and artists who currently have a much smaller competition pool and access to venues muggle performers don't know about. Also people who breed magical creatures would face some competition in cases where there isn't a lot of magic required for the maintenance of the species in question, but most of the valuable ones require magic to raise so that might not be an issue.
The questioner who asked about domesticating dragons is invited to try it themself, by which the panelists mean they should not try it themself. Though the historian adds that some species have been domesticated, or induced to hybridize with domesticated species, in the past several centuries and they probably haven't seen the end of that trend.
The comment about the muggle picture book is interesting, because it suggests there might not be an overwhelming consensus one way or the other, though it's unlikely that the powers are coincidentally similar enough to magic to really reason from that. Also the neighborhood association guy is totally putting that on his reading list; it sounds neat.
Different magical countries are broadly similar in their approaches to incidents with muggle authorities, at least in the rich countries where the governments have broadly similar powers. In places where there isn't as centralized of a government things on the wizarding side get a lot more ad hoc, because you can't just find one contact person and let them in on everything.
Negotiating positions short of war is a pretty complicated question, because it would depend on how much of a united front the magical community was able to put up. Some options would include refusing to trade with countries that mistreat their wizards, voting with their feet by moving to friendlier countries en masse, and magical governments offering to help enforce the laws on wizards conditional on muggle governments enforcing laws that protect wizards.
The question about whether there are enough wizards to seriously hit muggle industries gets the economics witch and the historian into an argument that gets excessively meta until neighborhood association wizard cuts them off.
The panelists have no idea how easy it is to rob a muggle bank because they have never tried it because that would be wrong.
Areas where muggle governments are unstable or repressive don't tend to have a lot of wizards, because people who can turn invisible and teleport have very robust exit rights, but the continued appearance of muggleborns in those populations does make them a concern. The lawyer mentions, in the manner of a tasteful elevator pitch, a charity that finds muggleborns in areas too underpopulated by wizards to have much of a community or education system and offers to get them and their parents settled elsewhere.