I'm not sure how seriously you meant this, but that seems a little exaggerated. If your kids are drafted into service in another Western country than you hold citizenship, the odds that they would find themselves fighting a war against your country are slim. And even if it does happen, they'd likely find themselves transferred or exempted on account of a parent being one of the enemy.
On top of that, there are an abundance of non-combat roles for draftees - here in Israel you can spend your mandatory service programming computers, driving or fixing trucks, coordinating international communication with countries that are only semi-friendly (maybe that of your parents, since you speak the language!), stapling papers together with no apparent purpose other than government bureaucracy, supervising a kitchen, investigating higher-ups in the military for fraud and corruption (internal police), diffusing bombs, helping with Covid testing/ vaccine logistics, or singing in a choir. (I have met people who did most all of those things. If you don't want to kill people you have many other options.)
On some level, any participation in the organization is indirectly supporting the war effort, but so is paying taxes. Would you be against your children paying taxes to a country other than your own?