It seems unlikely that the IDF will do anything to an international peace force operating in Gaza (not Israel) under a combined lead of France and the UK.
Anyway, it would exactly only take one country - the US - to stop shipping weapons (to credibly threaten to stop) to bring this to an end so fast that you can‘t even finish breakfast.
Almost certainly true but it would be political suicide for either country to actually deploy troops to the area. Troops would be attacked either by Hamas or one of the other dozen terrorist organisations present in the area, some of which are allegedly backed by Israel. Any goodwill obtained internationally would evaporate as soon as the troops are forced to defend themselves and any goodwill obtained domestically would evaporate as soon as any troops died or were injured.