DMW -
Here's what I see when I read your posts:

pursuit, pursuit, pursuit, pursuit, pursuit.

You cannot guilt your wife into coming home, nor can you reason her into coming home. Being clingy and needy is MOST unattractive. You are driving her away as effectively as if you were trying to do it.

She is MUCH more likely to come home if you do just the opposite of what you are doing now. Go dark. Quit contacting her. Start going out and doing exciting new things in your life. Be a little mysterious. Dress better. Work out and get fit. Travel someplace exotic. Take lessons.

Don't date, necessarily, but go out with groups and it's okay to let your wife get the mistaken impression that you ARE dating. LET HER THINK YOU HAVE MOVED ON. She won't miss you if she knows she always has "old reliable you" to fall back on.

Don't answer her calls or emails right away. behave as if your life is so busy and fabulous that you just hadn't gotten to it. Don't initiate any contact. Be a great dad to your kids. Get a promotion at work.

Do a 180 starting right this minute, because everything you have been doing is backfiring on you. Trust me on this.

Ellie