You're under the mistaken impression that all military personnel support the wars they are taking part in. The military, just like any other large organization, is not a monolithic entity. It is made up of individuals with differing opinions.
If a soldier, Marine, sailor, or airman disagrees with his or her politicians sending the country to war, the proper way to express that dissent is by voting for political candidates who opposed it. Its the duty of military personnel to follow their regiment's colors into harm's way whether or not they agree with the politicians sending them there. That is part of the job description.
And if no politicians with any real chance of winning anything, oppose the war?
Being labeled as 'unpatriotic' and 'Communist' and even worse?
Following orders lock-step has its uses, but the larger reality of the world tends to smack sense into people about it - even if it takes decades or more. And then the shame (personal, national, etc) sets in, and history makes us all look like fools.
To date, the only widely-understood-to-be-appropriate-and-successful-in-long-term war in the past several generations is WW2, and even that has many shameful acts made that cause people, like for example my still living WW2 vet grandfather, to still consider the whole situation a mess that should have never happened. Even Germany's fascist rise came out of the results of WW1/Great War, which in itself was a terrible war that should have never happened and is largely regarded to be useless and a waste of life on all sides.
So no, I don't respect militiaries or 'the troops'. But that also comes from a lack of respect for any large organization or organizational idea. Heck, I'm gay and I still don't have automatic respect for 'LGBT organizations' as some 'whole'.
I respect people though. And maybe cultures or subcultures to some extent. And families. And friends. I respect some of my friends for their service in the Canadian military - but that comes from THEIR actions IN it, not their choice to sign up. Signing up for the military isn't admirable in itself, because it actually entails a whole lot of stuff (from sitting at a desk being paid as a pencil pusher, to rushing into crazy situations to save others' lives, to effectively being a merc for corporate control and geopolitical agendas for resources, etc), and someone who puts themselves forward to be a part of that is someone I'd call anywhere from heroic to evil. It'll depend on the person they are AFTER their service.
I don't think there should ever be elimination of military or disparagement towards soldiers. Its a way of life, and often actually an admirable one to enter and embrace. But it also, due to the dominating duty-based and conformist structure, dependent on:
-the country and what its doing
-the leaders and what they decide
-if terrible actions are rationalized away or swept under the rug, or instead admitted, reconciled, and resolved
-the servicemen's culture; in many cases, the line between soldier and thug can be very thin, and honor and idealism is often what holds that line
-questions are allowed to be made; NEVER should it be a 100% unquestioning environment. Orders are orders, but they're also just words told to you, and while more questions means more possibility for disruption, it also can mean the difference between success and failure in small to large military ventures