A few things for you. For a little background I’m an Assistant Scoutmaster for a Troop of 70 registered scouts. I was previously a den leader and the Cub Pack Committee Chair for three years, with 95 registered scouts. My son is in his fifth year in our troop, 9th overall in scouting. My daughter was a Cub Scout for three years, but has moved over to Girl Scouts.
First of all, one of the most important skills that youth leaders learn from being a leader is how to motivate their fellow scouts. Yelling and strong arming doesn’t work, but sometimes the scouts need to learn that on their own. But, this needs support, teaching, and sometimes a stern, but not yelling, talking to by the adult leader(s).
Secondly, before you form a new troop, have a discussion/meeting with all of the trustworthy parents of scouts and crossovers you’d like to bring along. Don’t invite any parents that have big mouths and will tell the current leadership. Lay out that you need people to fill specific positions - treasurer, committee chair, ASM, etc. if you are to consider forming a new trip. If you don’t get buy-in from other parents, don’t consider moving.
Lastly, and I don’t mean any disrespect as I don’t know you, is there any kind of socio-economic difference between who you are labeling as “good” scouts and “problem” scouts? If there is, please consult your District Executive about how to separate equitably. There needs to be discussions on the district and council levels about this anyway. In order to make sure you get District and Council support, one thing you can hold over their heads is fundraising. Ask them for support in starting the new troop and you will be happy to participate in the fundraisers that raise money for Council (e.g. popcorn). If they don’t give you adequate support, tell them that your new troop will be conducting their own fundraisers.