No.
It’s a huge red flag. As nice as he may seem now, if he’s already hostile to your faith, and he’s got his “best foot forward”, imagine what it’d be later! It’d be so much easier not to start than to wait till after you’ve fallen “head-over-heels” in love to try to stop this.
If you dated him, you could fall in love with him, want to get married. How would a relationship work? He’d go to his church on weekends. You’d go to yours.
As a Catholic, you would be expected to marry “in the Church”. In order to marry, “in the Church”, he’d need to promise that you would both raise your children Catholic. If he’s anti-Catholic, I doubt he’d be willing to do that. Even if he let you, it’s just not a good scenario. I’ll explain why.
Okay, if he doesn’t allow you to raise your children in the Catholic faith, you will go, by yourself, to a Catholic Church, on weekends. He, and your children, would go to a non-Catholic, anti-Catholic, denomination.
If he lets you raise your children in the faith, you would not go alone but take the children to your Catholic Church. He would go to his, non-Catholic, anti-Catholic denomination on weekends.
Further, I don’t know if any of his family or friends might be of this faith. They also might, in which case, it’d make matters even worse.
You’d be at a struggle your entire life! I doubt he’d agree with the authority of the pope, with going to confession, with your putting up a crucifix at the house, praying the rosary, praying to the Blessed Virgin Mary, etc.
You would be OBLIGATED to defend the Catholic Church every time he attacked it!
Before marriage, you would be expected to go to Catholic marriage preparation, precana. Would he even go?
You would NOT be able to use contraception, since it’s sinful. Does he realize that? If, at a future point, you wanted to use Natural Family Planning, would he be open to that?
I think that this may now seem insignificant, but once you had kids, especially, these issues would suddenly become quite important, I assure you.
You would not even be able to accompany him to his Church! We’re really not supposed to be going to non-Catholic denominations, except for weddings and funerals.
We don’t accept positions that are commonly held by some other faiths. Sometimes, we won’t go to weddings, if they aren’t proper. We don’t believe in, or encourage, divorce.
If you date him, I think you would have huge problems in your relationship down the road due to this issue.
I realize it can be hard to find a good, practicing Catholic, but as hard as it would seem, I think it’d be preferable to go to the grave an “old maid” than to do this. You’d be in a position where you’d be encouraged to compromise on what matters most, your faith.
If he allowed you to raise your children Catholic, would he keep his anti-Catholic comments to himself with them, as well? I doubt it. When arguments come, we tend to bring all these kinds of differences and issues to the surface.
So, a disagreement about something else would undoubtedly trigger a discussion of Catholicism and why it’s so bad.
I’m not unsympathetic. I know what it is to be alone and how painful that is. God didn’t design us to be alone.
Don’t settle! Never settle!
I’d encourage you to try events at your Church, and other Catholic Churches to try to increase the odds of your finding a suitable Catholic man.
In modern times, finding a good partner is hard. It’s unbelievably hard to find a good man (or woman for that matter)! However, a lot of marriages end in divorce due to differences, including faith, and you also don’t want to be one of those.
Good luck, and God bless.