Part of that similarity is the similarity of missions and some tactical similarities. If you are a SF Light Infantryman (Ranger), then your job description will be a lot like any other SF LI. OTOH, if you are an SF CT operator, your training focus will be very different. <Obvious, but I think worth stating>
Where I notice a difference is perhaps not exactly in the training, but in the approach to situations. Canadian Forces who train regularly with the UN and who often do international missions have a particular approach 'bred' into them. This makes its way into ROE and SOP. US Forces, who do a fair bit of training for force-on-force seem to be more focused on Force Protection than we are, generally.
This is tough to convey to an inexperienced player who doesn't have the experience to appreciate these idiosyncracies. When put side by side in the Balkans in tough situtations, CF command chose different coping/resolution strategies than USHQ. Thus, the reception by the locals was different as perhaps was the threat level experienced by the troops, etc. For instance, if you are CF, you just don't *have* the organic support elements that US usually does, so you learn different ways of dealing with problems with the resources you have.
This shows up even when you *have* access to those resources.
Now, also, comparing SF operators isn't probably a good comparison - by the nature of the biz, you get the best soldiers, generally experienced and broadly trained. Comparing normal soldiers or reservists, and perhaps other trades other than infantry might be instructive. When I was in CF (readying for the real Twilight War that never was), I had friends in armoured units who trained with their US counterparts. The CF guys were of the opinion that, in one of our Cougars, every man could easily slot into the job of the other since they cross-trained intensely. They ran into US forces for whom this was not the case - they may have been better at gunnery, or driving, or whatever, but they didn't have the same level of cross-training. So there *are* some differences.
YMMV, but I liked the original twilight supplements that finally got around to presenting the slightly different views of the various forces. <shrug>