Married filing separately isn't the same as filing single. That's why there are three columns. Note the following is straight rates, no deductions.
Say a man makes $80k and his wife makes $150k. Single he pays $15856.10, and she pays $35175.60. Total together is $51031.70
They get married, they pay $51804.20. Which is $772.50 more.
They file separately and he pays $16023.35 and she pays $37452.10, with a total of $53475.45. That's $2243.75 more than when they were single and $1671.25 more than filing jointly.
The only way that it makes sense to file separately is if you're going to move all the family's deductions to the higher paid person's taxes to get an overall lower rate, and if the changes more than pay for the accountants and potentially lawyers. So, I'm afraid you're wrong, there are definitely ways that married people could end up paying more, but really only if they make enough to actually pay taxes in the first place.