Can you tell us the primary reason for you wanting to drop these? Are you annoyed with the amount of indexes or are you running out of space? Obviously these indexes were put there for a reason, so one of us cannot give you justification for removing them. If you told us that you know for a fact that these are not required for any queries, then we could say to go ahead and drop them. However, just because they have not been used in 2 months does not mean that that they are not used at all. Many reports from my previous company were run quarterly or yearly. I can guarantee that the indexes required for these reports were not used more than 4 or 1 time a year, respectively. If someone came in there and dropped them with no research into which queries referenced these tables and columns and assumed they were not used at all because it had not been accessed in 11 months, I would have fired him/her on the spot.
Why stop at a year? Maybe it runs every two years. Maybe it's a decade-ly report. I see your point, but I don't know any way to determine that they're not being used other than finding every single query that accesses this table (i.e. lots) and checking the execution plans of each one.
And I am doing research. This is my research now : /
It seems like the consensus is "don't do it it's not a big deal". But every book I've read says that you suffer performance degradation on inserts for each index that you have. I'm just trying to get to the bottom of this. No need to be hostile and talk about how I'm inches from being justifiably fired.