The French side has frog legs on the menu.
The Dutch side has oxtail soup.
Frog legs were used in biology class when I was in school.
I still have never tried either.

Trying to stay more on topic...

1) What conditions are being made on the French side for help from Paris?
Both sides are receiving financial help.
2) is there a French side equivalent Govt? A parliament?, etc?
IDK but the French side is more dependent on France in most matters.
3) i see the dutch want the marchaussee ( dutch military police/gendarmarie) involved, will that make them more like the French??
Both are similar but the French allow more involvement in enforcing laws.
4) can the dutch/french police/courts pursue a suspect or investigate a crime on either side of the border? Can someone escape arrest/prosecution simply by hiding out on the other side of the island?
No! The perps will be caught and can not escape the law by crossing the border.