I think that taking a vacation during the school year isn't always a bad thing.
I do think you need to make sure what the absentee rules are for them though. If they have to be in school a certain amount of days or they fail then that isn't a big deal. I think they can miss something like 27 days per school year here. I've heard that in rumor only, I have no absolute knowledge of it.
There are always things that do come up like illness, death in the family, other circumstances that would make them miss school so you do need to consider that.
It has also been posted here on mamapedia that some parents have gotten into legal trouble through their school kids attendance so I would make sure that's no going to happen.
When it comes down to this for me, I am the parent, if "I" say the kids are going to miss school....well, that's my choice and I am the final say. If I want to take a vacation and it falls during the school year then so be it. IF the kids are behind then that is a consequence that "I" have to deal with. Taking assignments on the road with you is a good thing to do.
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My thoughts on dis-enrolling them.
They most likely won't get the same teacher, if they do have a family enroll during the time you are gone they may even fill up to their maximum and not be able to re-enroll you.
My daughter moved into a school's area but they were full. I had to get up and drive across town to bring my grandson to an elementary school almost by my house. She didn't have a car so she didn't have a way for him to get over here. To catch the bus that would bring him to school he would have had to walk to school about 7 blocks away from her house at 7am instead of 7:45 with the rest of the kids from the neighborhood. There weren't any parents taking kids to catch the bus either, none of them had high school kids or kids that went to other schools.
So, the long lasting effects of taking them out of school and un-enrolling them may not be the good thing you consider it to be.
In my book, I get to choose when the kids take days off. If the school has a problem with that then you might want to consider taking the vacation during Thanksgiving week and the one before or after, or Fall Break when they're out for a couple of days.
Our school is out the entire week of Thanksgiving. So if that was an option your kids would only be missing 5 days.