Not once in the Bible does God call/ tell/ command husbands to lead. He calls wives to submit, but He calls all believers to submit to one another. (Eph 5:21)
As Christian husbands and their Christian wives are also part of all believers, the husband should also submit to his fellow believers, including the Christian wife.
As for the husband’s alleged leadership, we are not told in the Bible to submit only to leaders, so male lead cannot be deducted from verses calling her to submission.