I don't have low aspirations. Just I already have great cameras. The Mirrorless EOS is only adding to my party.
Somewhat different take here. I am an amateur. I only have a 7D which I like a lot. Plus a Powershot S-95 as "smaller, go everywhere/family cam". Unfortunately I hate the S-95 in almost every aspect, although I know, it is still one of the better compact cams on the market. I do not like to use a LCD-only cam in stretched-out hands.
On the other hand, the 7D (plus lens) is not huge, but still too bulky in many situations. Currently I mostly use the 7D unless size is a real problem, if it is, I take the iPhone ... rather than the S-95. And I never take videos (except occasionally casual 5sec-clips with the iphone) and will never do so. Stills only for me.
So I am keenly interested in a hi-end compact FF-cam that matches or beats a DSLR like the 5D3 in every way [except OVF] and has additional benefits of a mirrorless cam [no noise, no vibration] on top. At a price not higher than a 5D3. I would use it to complement my 7D and possibly even replace it.
Much less desirable to me would be a compact APS-C mirrorless with a max. 7D-ish price tag. If it matches or beats (in terms of IQ and control) my 7D, I might buy it as second body or even as replacement. It still needs to have a TTL viewfinder.
I am totally uninterested in a consumer-mirrorless and/or in a sensor smaller than APS-C and/or with 4:3 or 16:9 native sensor format and/or with insufficient responsiveness/controls/ergonomics.
* sizewise: I know, the Minolta CLE was a rangefinder cam. But at 124.5 x 77.5 x 32 mm it is significantly smaller than a Leica M9 [139 x 80 x 37 mm]. And a lot lighter at 380g (CLE) vs. 600g (M9P). And still a FF camera. And compatible with most M-mount lenses from any maker. That's why I keep using it as a reference point. Because some people mistakenly believe, a FF mirrorless would have to be "bigger / too big".