Are there a lot of 'modern' chabad families that don't have beards, keep C"Y etc?
It runs the gamut really.
You have guys that associate with Chabad because they like the atmosphere, attitude, or even the time of davening. I wouldn't really call them Chabad, but they daven at Chabad for whatever reason.
You have guys who are B"T that may have spent time in some of Chabad's BT yeshivas but have never gotten to a point of growing a beard or keeping C"Y. But they consider themselves to be Chabad Chasidim.
And you have Chabad guys who went through the system but took off their beard/kapota, etc. The local Rabbis will do what they can to talk to these guys, but in the end of the day they're still part of the community as opposed to other Chasidic sects where they would be tossed out. That has pluses and minuses, on the one hand it's easier to "chill out" because you know you won't be ostracized. On the other hand, at least you're not giving up on Orthodox Judaism just because you can't keep up with every standard.