Honestly, I haven't heard anything like this. Then again, I am only in a singles ward and I've never been in a presidency position other than secretary.
From what little I understand, family should come first. Prayer about the expectations would be a good idea. I do admit that it sounds like it is overboard.
I'm in the bishopric of my ward. So far, we haven't received these kinds of mandates in our area (Las Vegas). On the other hand, I have been involved in asking people to do things beyond what they believe they can do. I have gone to my leaders and told them about concerns I've had with callings and ended up getting released (but not in a bad way, if you know what I mean).
Honestly, you are in a challenging situation. I believe you have every right to talk with your bishop about your concerns. I know our bishop has adjusted some of the requests made by our stake leadership because he feels they put too much burden on the members of the ward. If things are as you say they are, I would tend to agree. This is way too much to ask of the members. The church should be there to support the growth and development of individuals and families. If your family is suffering unduly because of the demands of your responsibilities to the church, something should change.
Of course, I do believe that our church leaders are (mostly) inspired. I believe that they always act out of a desire to do what is best for God's children. The challenge can come when it seems that they aren't as sensitive to the needs of one group as they are of another. The rescue is important, but I tend to believe that when Jesus went out after the one, he made sure the ninety and nine were secure before he left.
Not sure if any of this helps, but those are the thoughts I had as I read through this.
I can completely understand your frustrations. I have been in situations where the demand seems to be too much. At the same time I would counsel that you should look beyond the burden and try to understand the blessing. It sounds like there is a great need in your area to re-activate members. While it might be difficult to fulfill these expectations, you never know what might come from it. Often times in my life I get the greatest blessings when the task seems the hardest. We don’t always understand why we are asked to do things, but remember that we all have the ability to talk and seek counsel not just from our leaders but also from the Lord. It is difficult to understand why your are being asked to do this when the assignments are coming via emails. My advice would be to have a face to face discussion with your leaders and try to understand the reasons, as well as express your concerns about these new expectations. I would suggest against taking the attitude of blowing off your responsibilities because of a lack of understanding or because they seem to be “too much”. In my opinion, and please take it lightly because I don’t know you or the situation, based on your post you are shutting yourself off and allowing pride to get in the way of your understanding. I would challenge you to pray and talk with your leadership to gain perspective and who knows maybe through that the assignments/expectations will change.
Sometimes we are required to do hard things. Because something is hard doesn't mean that it isn't right to do. In the early days of the church fathers were often commanded to serve long missions in foreign lands, leaving their families for years. Does this make God unloving? God will bless us if we follow his will. I would advise you to talk to your bishop about your concerns. I would also pray about it.
I have felt that way. Yes there has always been a strong encouragement for "One night a week with the missionaries. This can be delegated throughout the HP group leadership or the quorum both HP and Elders. Monthly PPIs have been in the books for years and Ward council, PEC, and Welfare meetings along with visiting the inactive members. I served in a branch of 60 active members and 180 inactive members that by the handbook should be visited every month. The elders quorum president and I were determined to take one night a week and visit every family on the list. After 3 months and hundreds of miles on both cars (the branch boundary was 50 miles north south and 60 miles east west) We decided to prayerfully select a few each quarter and both visit those who need and wanted visits and remove (unfortunately) at their request others from the rolls. I recently had the calling that you have now. The first and primary purpose of the church is to..."Strengthen the Family." As the HP group we take one Saturday morning a month to have a service project. We try to consolidate the Nick knack projects to once a month, focus on an inactive family that needs help and turn it into a Family activity involving the Ward the missionaries the community and the youth. This consolidates a lot of "needs" into one lump time slot. Yes I have seen energetic parents serve in the church to the demise of their family. They have the idea that if I keep serving the Lord will preserve my family. This only goes so far. Yes as members of the church our calendars fill too full with service opportunities. Yes we need to teach our family members the joy of serving but not at the expense of serving our family. Delegation, coordination, consolidation, and planning all help. Ask the Lord what works for you and your stewardship as a leader and as a Patriarch in your home. You also have a voice in your leadership meetings. Ask the question, "How can we as leaders be more efficient so that our families can enjoy us more? I am glad that you recognize this as a problem there is a solution, the Lord is on your side on this, He will guide you.