Give them a choice. If you come across something that does not have enough sources cited or missed the mark, has spelling errors, etc, talk to the person responsible letting them know what is wrong with the piece and ask them 'if they have time to fix it or would you rather I do it?' Since you have a stake in the grade there is nothing wrong with wanting to turn in the best work you can. Since they were lazy about the assignment to begin with they will no doubt opt out of doing any more work on it and you can blissfully do your thing.
As far as not wanting to get stuck doing the majority of the work, you will no matter where you go, as work ethic is sorely lacking in many and if you have a good one you will always table more than your share. Part of life. This is why so many 'mavericks' work for themselves.