You needed to specify that is what you were referring to when you said some believe the Romans and Gal passages were thought to be the baptism of the Holy Spirit. And then not argue against the baptism ,mentioned in those passages has nothing to do with the baptism of the Holy Spirit on those grounds.
@Fred is correct, we are baptised into Christ by the Holy Spirit. It is this baptism: Matt 3:11-17
"I baptize you with water for repentance. But after me comes one who is more powerful than I, whose sandals I am not worthy to carry. He will baptize you with the Holy Spirit and fire. His winnowing fork is in his hand, and he will clear his threshing floor, gathering his wheat into the barn and burning up the chaff with unquenchable fire." That is John the Baptist speaking.
So the Holy Spirit is doing two things. Baptizing into Christ and judging those who are not baptized into Christ. Jesus tells us in John 3 in his conversation with Nicodemus, just how the Holy Spirit brings one into Christ. Through the new birth which is an inner change of heart, one that was turned away from God to one that is now turned towards him. And he says no one will come to him, (be joined to him through faith) unless God does this by the Holy Spirit.
All true believers are baptized into Christ by the Holy Spirit, they are sealed in him by the Holy Spirit, and the Holy Spirit indwells them for God's glory---not leaving his children as orphans.