I support the freedoms we have (or, used to have -- notice how they're being eroded?) in the United States. That does not mean that I'll support "whatever happens". I don't support my country becoming an aggressor, I don't support us overturning a faraway government that honestly represents no threat to us, and I don't support us engaging in actions that are most likely to cause more terrorist attacks against us, thus giving the government an excuse to impose martial law.
"Supporting the troops" is really a red herring. I can support the individuals in the military without supporting them being deployed.