even if all in the military don't have members ???
Seriously, serviceman is very acceptable. Only a very few clintonistic women in the military object to it. Whatever, never call a Marine a soldier ...
Service-people-without-regard-to-sex-race-age-religion-sexualorientation-or-any-of-the-other-discriminatory-disclaimers-such-term-as-to-apply-to-any-member-of-the-military-without-any-consideration-of-pay-grade-or-rank-such-consideration-exclusion-void-in-vermont-and-massachussettes.
Or SPWRTSRARSOOAOTODDSTATATAMOTMWACOPGORSCEVIVAM for short.