I'm not sure why you think that supporting the troops is contrary to an affinity for authoritarianism; in fact, the two are very much compatible. Conservatives in all countries, including the US, have always been happy to see the military called in to squash whoever they think is an enemy, whether foreign or domestic. Modern conservatives are the ideological descendants of the folks who wanted to crush the French Revolution and put kings back on the throne. They tend to think democracy is too messy and prefer when one person can make decisions - of course, as long as that one person is "one of them." Hence the steady conservative trend towards consolidating and expanding executive power.
Conservatives have always aped the language of liberty and freedom, but as I've said before, the libertarian version of conservatism is always more of "rules for thee and not for me" than true liberty. "Freedom of religion" for conservatives means the freedom to impose Christian theology on everyone, not religious freedom for "other" religions. "Freedom of speech" means the right for them to be free of criticism, not the right of everyone to express their opinions truthfully and without fear of government suppression. That's how you end up with all these seeming contradictions - like, for example, Donald Trump accusing the Biden admin of withholding disaster aid from conservative citizens then in the next breath threatening to withhold aid from liberal parts of the country.
There are some people who consider themselves conservative who truly believe in a more libertarian version of conservatism - free speech, small government, etc. What those people have been finding out in the last few years is that they are a much smaller minority in the conservative movement than they thought.