No, take along means to bring as a traveling companion.
“to take along”
περιάγειν (periagein)
Verb - Present Infinitive Active
Strong's 4013: To lead or carry about (or around), go about, traverse. From peri and ago; to take around; reflexively, to walk around.
“wife”
γυναῖκα (gynaika)
Noun - Accusative Feminine Singular
Strong's 1135: A woman, wife, my lady. Probably from the base of ginomai; a woman; specially, a wife.
You are wrong about interpreting "taking along" or "leading about" to be referring to evangelizing to their own households, bringing them into the body of Christ.
The next few verses have nothing to do with evangelizing their own households. That is far fetched to say the least!
The context is clearly about the right for traveling preachers to bring along a wife and to get financial support, paid expenses on the missions.
1 Corinthians 9
3This is my defense to those who scrutinize me:
4Have we no right to food and to drink?
5Have we no right to take along a believing wife, as do the other apostles and the Lord’s brothers and Cephas?
6Or are Barnabas and I the only apostles who must work for a living?
7Who serves as a soldier at his own expense? Who plants a vineyard and does not eat of its fruit? Who tends a flock and does not drink of its milk?
8Do I say this from a human perspective? Doesn’t the Law say the same thing?
9For it is written in the Law of Moses: “Do not muzzle an ox while it is treading out the grain.” Is it about oxen that God is concerned?
10Isn’t He actually speaking on our behalf? Indeed, this was written for us, because when the plowman plows and the thresher threshes, they should also expect to share in the harvest.
11If we have sown spiritual seed among you, is it too much for us to reap a material harvest from you?
12If others have this right to your support, shouldn’t we have it all the more? But we did not exercise this right. Instead, we put up with anything rather than hinder the gospel of Christ.