I can understand your viewpoint and while there are verses in the bible that are very clear on Jesus being the “way”, I personally think God is doing everything he can to save as many as possible. And if someone is living in accordance with how God wants us to live I genuinely hope that is enough.
I mean, you also have many people from other religions who dedicate their whole life to knowing God and following his teaching. Sure if the teaching is evil, that’s an issue, but many religions follow the same basic principles and I think there is more to it than just whether you specifically call yourself a Christian. Don’t really have any bible verses to support it, just my personal conviction.