The problem with "political spectrum" theory is that, I personally don't believe that it applies much in Canada, or most Parliamentarian system countries.
In Canada, in my view, almost all politics is centrist, and then either a little left or little right. If your positions are in that small portion of the spectrum, you can achieve power after an election, if you don't and don't move there, you can't. It's the old Liberal trick, BTW. Promise on the left end of spectrum but, in office, govern from the centre. The "die-hard" Liberals know that they will govern from the centre so are not worried, while there are usually enough left leaning fools every time to vote for them thinking they will actually deliver. The recipe cannot work for the Conservatives because (1) there are not enough "hard" right people in Canada to try and fool into voting Conservatives and (2) the more centrist people are actually afraid that the Conservatives will deliver extreme right policies even when they don't promise them, or at least enough centrist that are convinced by the Liberals that it will be so, even though just about every Conservative government since WWII has been just as centrist as the Liberals.
Now, to input some facts into the CAF members view discussion: On the larger bases, with on base accommodation for members and families, the polls are usually found on the base. As a result it is possible to get an overall picture of how CAF members vote by reviewing the section by section vote on those bases. The sample is proportionally so large as to deliver an extremely high reliability figure of how CAF members vote.
As far as I know, only one such study has ever been made. It was done by historian Jack Granastein in the late 70's/early 80's, and it reviews data for Post WWII elections to 1968 (inclusive)*. The findings: The members of the CAF consistently voted for the Liberals throughout. No research has been done on this since. However, I consider the following to be anecdotal data supporting the view that this is still the case: When you look at CAF retired members standing for office since 1968, and in particular our more senior officers from Fred Mifflin to Andrew Leslie, and including people such as Mark Garneau and our DefMin Sajan, they for the most part stand under the Liberal banner.
So, personally, I am not at all convinced that overall, the political views of the members of the CAF are much different than the Canadian population's views at large. I rather think that they closely mirror one another.
I think that it would be dangerous to equate the CAF members generally more conservative (small c) personal outlook on life with their actually voting Conservative (capital C).
*: In one of his essays published in 2013, Prof. Granastein refers to this research of his and to the fact that no other has been made since. I am pretty sure none has been done since 2013.