Your poor wife has to deal with the consequences of her drinking. Too bad she's laying a guilt trip on you about that. Pretty inappropriate actually, but to be expected. She's an alcoholic doing what alcoholics do.
Letting her move home (trying to throw a blanket over the elephant in your living room) will not make the problem go away. It will make it worse. You must know this in your heart of hearts, right?
There is no guarantee she will stay sober when she gets out of rehab. But the good news is NOW she has the opportunity to show you how committed she is to her recovery, without doing any further damage to your children. AND you don't have to hire someone to babysit her! What a blessing!
Now, about that alanon meeting? We really recomend that you work the program you think your spouse should work. Alcoholism is a family disease. It doesn't just affect the alcoholic. It affects everyone in the family. Just try 3 meetings... it'll be a great way to support yourself, your children and your wife while she is in recovery.
Alcoholics don't just "quit" drinking. It takes lifelong effort.