Well, I am a stay-at-home mom. Both because of that and because I am better suited to it temperamentally, I am the parent "in charge" of reading up on educational issues, learning about available resources, etc.
When it comes to testing, placement, etc., my husband and I discuss and come to agreement on what approach to take.
We have generally similar attitudes toward parenting generally, but we do have some different philosophies.
My husband is more concerned than I am about hurting DD socially and damaging her well-roundedness and ability to get along with all types by segregating DD in gifted-only settings. So far, we've been able to resolve them all relatively painlessly.
For example, my DD is eligible for an accelerated gifted-only class beginning next year. My husband was reluctant to go for it until he found out that it only lasts until middle school, at which point she will be able to take classes with other kids, too. I was more in favor of it regardless.