No it shows us we have a responsibility to others... that would not be so if we didn't believe in a loving God.
People know innately that we have a responsibility to others. We don't need belief in God to do that. And we see many believers in God that don't care about others, so your claim here is not only unnecessary, has no cause and effect, but also inconsistent.
Works will be a reality in the life of a true believer, they may seem small or large but the important thing is the motivation behind them.
I worked in the food kitchen at my grandmother's church when I was a kid. Boy that opened my eyes to the reality of the poor in the USA. I had no idea. The people in her church were real Christians to my mind as they helped the needy as a duty to others, and not an obligation of religion, or any reason to promote their religion. They didn't even pray, they just served food to the needy twice a week.
Conservative Christians tend to insist that works are not necessary or important, at least in regards to their own salvation. They tend to say they donate to charities but also insist that government aid to the needy should be abolished. A few have even stated that government and tax revenue has no place in helping the needy, that it should only be aid via charity. When I asked what if charity falls short of the need, and they said that's the way it goes, too bad. I found that totally immoral and missing the mission of what Jesus taught. He didn't;t say to only help people with charity, he said help people, period.