The answer to this question is fairly clear based on recent Gallup polls.
First, which christian groups are most passionate about their faith? According to a recent Gallup poll, those in the United States who answer “my faith is very important to me” as a share of total church members are roughly like this:
70-80% Southern Baptists, Assembly of God
50-70% Methodists, Presbyterians
30-40% Roman Catholics
20-30% Episcopalians
I am leaving out a few other denominations. Not surprisingly, the Southern Baptist and Assembly of God denominations are also the fastest growing denominations in American (including a large share of Ex Catholics). These are also Evangelical denominations (i.e. a high view of scripture and a low church style). However, there are Evangelicals in the other denominations as well, just not in as high proportions.
Second, define “Christ like” behaviour. Those who are most likely to be against abortion, homosexual marriage, pre marital sex and other “moral values” issues are, according to Gallup, those same denominations. There is a very high correlation between, for example, opposition to abortion and importance of faith. I suspect that if you could compare the 30% of Roman Catholics who say that their faith is very important to the 80% of Assemblies of God who say the same, there would be little difference in their moral attitudes.
However, when we compare Roman Catholics with Evangelicals, we are comparing basically all self-defined Roman Catholics, who proportionally are less “practicing” than Evangelicals. Hence, less “Christ like” attitudes statistically for Roman Catholics.
The exception, from a Roman Catholic point of view, would be on the issue of birth control, which RCs still have statistically higher opposition that the general public and, obviously, than every Protestant group.
If any statistics nerds are interested, I should be glad to post some of these Gallup polls. They come from the Premium Service, so I cannot link them. I have also consulted directly with George Gallup, a fine Evangelical Episcopalian man (yes, there are some). He agrees with the above conclusions.
Another interesting fact is that Evangelicals on the whole give more of their personal finances to church and other non profit causes than do Roman Catholics.
So the answer, at least from a US national perspective, is clear: Evangelicals are more Christ like on “family moral issue”, because statistically speaking, they are more passionate or practicing in their faith.
The more interesting question for my Roman church brothers is: Why are Roman Catholics as a whole less passionate about their faith than Evangelicals are?
For me, if the RC church doesn’t change lives, all your fine apologetics is rather useless, ¿no?