The only two differences in this scenario as opposed to when Madara used the Kyuubi are:
1.) Minato is the jinchuriki And can utilize Kurama’s chakra far better via his cooperation with Kurama
2.) He Only has half of Kurama but that half is still stronger than all of the tailed beasts.
Since he has only half of Kurama , he’d still get stomped by Hashirama. I think Hashirama would have trouble keeping up with his speed but if Hashirama decides to get serious, it’ll be over in an instant.