First, an Article V convention or Convention of States is not allowed to consider anything outside the call of the convention.
Second, 3/4 of the states (38) have to ratify anything that it produces.
Which is made by the State legislatures making the call. Those legislatures are made up of uni-party pols who like to talk about how "bipartisan" they can be. When the left sees that Article V is a forgone conclusion, that is when the backroom uni-party deals begin taking place. It goes something like this:
The Right: We want Article V!
The Left: Ok, we can get on board with that. BUT, if we do, gun violence must be a topic of discussion.
The right then does what it does best and rolls over for the leftists. Before you know it, anti-gun proposals are part of the Convention call.
Second, 3/4 of the states (38) have to ratify anything that it produces.
Again, this is not an issue for the uni-party. Once the amendments go back to the states, the uni-party deals REALLY gear up. It goes something like this:
The Left: Want these term limits here? Then we expect you to support this "common sense" gun amendment.
If you believe it will go down any other way, you are only fooling yourself. Anyone that says an Article V convention will be all unicorns and roses for the right is just plain crazy.