> I qualify for citizenship since a few years, but this Wehrpflicht nonsense is why I haven't sent my application yet.

First world problems...

You will always be able to object military service, it's not difficult at all and absolutely won't be any time soon. I have a hard time imagining you to be forced to do alternative service. In case of actual war, when mobilization becomes a reality, well... your origin country will likely be involved too.