First LLC's don't have "shareholders" the owners/equivalent of an LLC is a Member.
The process would basically be as follows:
Say you form an Investment Club LLC, you create a smart contract/ICO with up to 99 tokens, and purchasers of the ICO tokens become a "member" of the LLC.
Thereafter, the Investment Club LLC members could create a smart contract/investment opportunity, but you would only be able to vote/invest if you are a token holder...you say there are no permission controls but this was exactly how the DAO was marketed to function, buy a Token for DAO and you could participate/vote on future DAO investment opportunities.