a fact is , too many indexes will hinder the insertion of data ( because the indexes also need to updated).
but without indexes, your retrieval would be a pain.
Only in DSS / warehouse/ods/marts we would disable all the indexes when we load the data and usually this loading would be through a batch process.
your's seem to be an oltp system so u cannot disable the indexes.
so look into a proper design.
and first make sure that, having too many indexes is causing your problem,