New Bonnet

[piperdbh]

There was a thread about this very subject not too long ago, but I couldn't find it just now.
Yes, you can rip out the stitches that hold the ribbons together. In fact, many of us would recommend that you do so.
If you want to tie the ribbons into a bow, go ahead. Some folks tie them in a simple overhand knot and pull it tight; I pinned mine into a nice-looking bow and sewed it into place.
It's perfectly alright to cut the ribbons off and wear your Balmoral without them.
It's also OK to wear them untied, unsewn, and let them flutter in the breeze, although they can rub the back of your neck, as you indicated ion your post.

In short, it's your hat, your head, your neck, so wear it as you choose.*

*disclaimer: It will look much better with a badge of some sort.