An Article V convention is in my opinion the most thoroughly boneheaded idea in American politics (which is saying a lot). There is no way _at all_ to constrain the agenda _or_ the outcome per the current constitution. In particular you can’t say (afaik) “we are calling an article V convention solely on issue X.” The linked article describes this as the “runaway convention problem.” If you are on the left, imagine th…
Yes, there is, and it is specifically per the current Constitution; that is, the Constitution itself limits the agenda and outcome by excluding certain matters from amendment (a lot more earlier on, now most notably the equal representation of states in the Senate.)
> If you are on the left, imagine the new constitution specifically forbidding abortion.
I can imagine a convention proposing such an Amendment. I can't imagine it getting the support of 3/4 of the states needed for ratification, which is the main constraint on the impact of a convention—that it's outcome only matters to the extent a sufficient supermajority of states signs on to Amendments it proposes.