One, I'm not sure what American founding ideals have to do with Germany.
Two, Germany, like most countries and frankly human populations, has a male surplus in its fighting-age population [1]. This is why, historically, large socities tended to wage war with men first. (Even those that e.g. held elite units in reserve, which undermines the usual biological argument.)
[1] https://en.wikipedia.org/wiki/Demographics_of_Germany#/media...
>has a male surplus in its fighting-age population
The "male surplus fighting-age population" in Germany will flee to the next European host or back to the MENA country they fled from if conscription begins.
The male surplus is a few tens of thousands, way to small to make up an army; and no, that is not the reason why men and not women go to war.