I can agree with your concerns. I don't think the ad should be called a gospel presentation; it doesn't go that far, not even close. I suspect the advertisers would agree and would say they are merely softening the ground for the gospel, or something like that, though I too am guessing at their intent.
I do not think the advertisers are targeting conservative Christians to scold them for being unloving, but are aiming that ad at unbelievers with the message that Jesus' impulse toward people—even in their differences and trouble and sin—is not hate but love. If that impression is correct, I stand by my comment that it is not far off from the gospel; it is a start. Of course, the ad itself did not word things that way. We all know that in advertising, impressions often matter more than the words you use, and this is an ad not a sermon. At the same time, the differing impressions people have had mean the criticism from some believers that in this case the ad was too ambiguous surely has merit.
If I had $100 million to spend, I doubt I would put it into an ad campaign for Jesus. I don't believe ads are how his kingdom advances. And if I did run an ad, I would say some different things. And if those advertisers and I were to compare our approaches to society's evils and even our core beliefs, we might find we have disagreements. But I also do not wish to attribute wrong motives to others, even if I might disagree with them. And the "intentionally portraying those who protest abortion as hateful" that you mentioned just isn't something I saw in that ad. Especially if the speculation is correct that David Green is one of the chief spenders behind the ad, we're talking about someone who has taken many bullets for the pro-life cause. I'm not ready to accuse him of turning traitor based on what I saw.