That pushes strongly towards moving. Lot can change in 10-15 years and better to move while it's easy.

High housing costs are ... high. But some of it is forced savings - at the end of it you do have a much more valuable house for that increased payment. You may also see better appreciation.

Thoughts
1) Living in base gives a lot more options for dealing with financial surprises
2) Consider moving into a starter house that will be ok for 12-36 months. Rent it out after that and buy the big house.
3) As noted above, $6k/month for a house isn't cheap but I'd call it within your means. Pay down the prinicipal ASAP and you can reduce some of the interest expense.