Let's see, who should we trust, the actual author of the separation doctrine or you?
So you believe that in Colorado no solider will find, "reasonable access to worship" outside the Federally funded wiccan idols or base chapels?
Have you ever been to Colorado? You can't throw a dead cat without hitting a smoking altar of some sort.
Facts don't seem to matter to you, so I'm sure this will be a waste of effort, but here goes...
Cadets at the military academies aren't generally allowed off the grounds, except on designated occasions. For that matter, new recruits on military bases are also not able to come and go as they wish.
So even if we ignore your complete lack of understanding of what Separation means, you still don't have fact on your side.
I'll also repeat the basic fact that the 1st Amendment exists primarily to protect religious freedom- by prohibiting establishment of a state religion, it allows citizens to worship as they choose (or choose not).
The relevant yardstick for whether something violates Separation of Church and State is the "Lemon Test", as defined by Warren Burger:
First, the statute must have a secular legislative purpose; second, its principal or primary effect must be one that neither advances nor inhibits religion; finally, the statute must not foster "an excessive government entanglement with religion."
Clearly, the establishment of a military chaplaincy DOES serve a secular purpose, doesn't advance or inhibit religion (although removing the chaplaincy very could inhibit free exercise for cadets, recruits, and troops stationed overseas), nor is there any entanglement, because the chaplaincy is a strictly non-military role. Chaplain officers don't carry weapons and don't have authority beyond their role.
You simply couldn't be more wrong.