Tradition for one, a lot of traditions are simply incompatible with capitalism, for example you are technically not supposed to have your business open on Sundays if you are a Christian, but Christians have stopped doing this because if they just didn’t open on one day of the week they would get completed by the secular business that did.

which proves that their values are those of capitalism, not of “tradition”

Having a woman stay home and support the family, having women not work makes no sense from the perspective of the capitalist class

if population continues to decline, it absolutely would make sense to capitalists to keep women at home as incubators

Having children to begin with in a capitalist system having kids makes no sense, they cost so much money to raise and you won’t be able to see them because you have to work for your rich overlords

which is why it might not make sense to you, but it makes perfect sense to the capitalists, who need more workers, and don’t care how much time with their parents they get as toddlers, and who control the media and the education systems, which they use to socialise everyone from birth with the idea of having “the perfect family” with “2.5 kids”, but also don’t provide good sex education, nor family planning services, nor a society that is welcoming to alternative choices, like not having kids, or adopting older kids.

the far right wants to purge LGBT+ people, LGBT+ are over represented among the capitalist class

what the actual fuck?

and even the ones who are not LGBT+ still support the movement just look at pride month

pride month (or the aspect of it you’re alluding to) is the perfect example of capitalists willing to do anything for a profit. The idea that capitalism favours queer people is beyond laughable.

So no, there is no contradiction because they have no core value other than making money at all cost.