As a note, 'mericans do value their Armed forces somewhat. Seriphyn is serving, so I assume he does also see some value for the practitioners of the killing profession. However, assuming that the military is appreciated everywhere is not something that should be taken for granted. In the matter of fact, one of the international CV/resume writing tips around here is "don't mention that you've served in the military".
I work at a technical university - so a good amount of our students are young men. Most of them have been conscripted and served 6/9/12 months, and a good number of them are reserve NCOs or officers. Around here it is mostly indifferent whether you've had served (except that the fact that you've done with it and won't get conscripted once you're hired), but for some old-fashioned companies, being a reserve officer is a good thing.
Enter, say, South America. There might be a few countries where if you're too lazy to have a honest trade and too stupid to be a thug, you end up in the army. And with some luck, participate on the next month's coup. Or the coup the month after that. So soldiers are essentially sharing a profession with muggers.
Now, how would different cultures think about their militaries? Amarr we know that the military is esteemed (hello, military dictatorship disguised as theocracy). Caldari do still remember their independence strugge, so they like their soldier boys and girls. Plus Hethist propaganda during the new war. Gallente - well, pre-war the military was a good option if you couldn't become a clown. After the war broke out, I assume that there's a "revanchist" movement large enough to get the Navy manned, but still, I assume that the majority of the Gallente think of their military as a necessary evil. And finally, the Minmatar are likely divided - between a pacifist faction that wants to build their Republic and realizes that they're back to the slave camps without a military, and a militant faction that thinks the Republic Fleet is full of cowards who don't dare to take the fight to the Amarr (reinforced by the fact that when the Elder-Thukkers invaded to get millions of their brethren killed by Amarrians in the backlash, most of the RF stayed in the Republic).