Yes, those are lovely ideas, especially the colour coding.

You can manually group them now - you just have to assign a number to the tabs. So you could number all of one breed as "2" and they'll stay together, etc. 

I meant more visual grouping, in the way of space between groups. Right now they all have the same distance, so I can order them, but nothing visual tells me they belong together. 

Color-coding would be nice, and I think I'd appreciate the tick boxes as well! (Though what I'd use the latter for I'm not yet sure)

As far as visually grouping tabs - my current workaround for that is to make some extra tabs that are each named with a different number of dashes (it could be anything, really, but that's what registered to me as a "divider" symbol), put them between my desired tab groups, and then freeze them (leaving them permanently frozen, so the blue color serves as another visual cue for "this is one section, this is another")