I read the verse you posted and it says Judas is a betrayer, not an unbeliever. Those aren’t the same things. Peter denied Jesus three times, isn’t that betrayal, too? Yes, However, Peter was also a believer. Being a betrayer and a believer are not incompatible.
Speaking of verses, I also showed you where Jesus said to the disciples that, having left their homes and families, they’d receive eternal life. Judas did that very thing:
Matthew 19:28-30
28Jesus said to them, “Truly I tell you, at the renewal of all things, when the Son of Man sits on his glorious throne, you who have followed me will also sit on twelve thrones, judging the twelve tribes of Israel.
29And everyone who has left houses or brothers or sisters or father or mother or wife
e or children or fields for my sake will receive a hundred times as much and will inherit eternal life.
30But many who are first will be last, and many who are last will be first.
Additionally, in John 6, Peter referred to himself and the other 11 disciples as those who believe in Jesus as the Holy One of God. Since Peter knew Judas personally, I’m going to have to take his word for it as more weightier than other opinions:
John 6:68,69
68Simon Peter answered him, “Lord, to whom shall we go? You have the words of eternal life.
69We have come to believe and to know that you are the Holy One of God.”