You are not a Rabbi and you have no authority questioning others conversion processes.
Glad for this ask, because I can clarify my thoughts -
Jews are an ancient people, transcending religious practices, race/ethnicity, language, location, and any other modern day label.
There are 2 ways to be considered one of the tribe: being born into it, or by converting.
First, let's examine how conversion is even possible, if Jews are also a peoplehood and ethnicity, not just a religion:
I'll refer you to @etz-ashashiyot eloquent post for a more in-depth analysis, but in short: when someone becomes Jewish, they are fully adopted into the Jewish people. They are obligated in the same mitzvot, just as a born Jew is, they take on our language (Hebrew, and get a Hebrew name for instance), they adopt our culture and traditions, they are absorbed into our ethnic identity.
Conversion must be done through an acceptable rabbi, one who has a recognized smicha (ordination) by other Jews. Not someone who has studied Jewish texts for 50 years, not someone recognized by a public institution, such as the state of Iowa, not someone who fancies themselves a rabbi.
Converts must learn the basics of Judaism. They learn our history, our fears, our triumphs, our commitment. They learn Jewish thought, and practice. And they must be turned away 3 times - for if they truly want to be Jewish, they would fight for it. Many do.
Of course, I think that's a beautiful thing. In fact, I've often thought that geirim were even cooler than born Jews, because they knew our history, and still chose to join us.
Now, am I questioning converts and how they did it? Usually not. Someone tells me they converted, or want to convert, I think that's dope.
But occasionally, I'll meet someone who claims to have converted, yet simply detests every aspect of their supposed Judaism (Anna Rajagopal comes to mind). Someone who has absolutely no understanding of Jewish thought or experiences. And of them, I will be skeptical. How can you claim to have converted but know nothing of antisemitic rhetoric? (Or even engage in it, as Anna does.) Or claim to have converted, but know nothing of Shabbat, of the meaning of the chagim, of chesed? And most often in those cases, when you investigate, they are not legitimate Jews. Their "conversion" was a joke, whether teacup style, or by some random person who fancies themselves qualified to bestow Judaism on another. Claiming those sort of people as Jews is dangerous. (See post linked if you don't understand why on your own.)
Similarly, if I meet someone who claims to be a religious Jew, yet does not keep shabbat, loudly and proudly eats a bacon cheeseburger on Yom Kippur, and in other ways does not follow Jewish law, I'd suspect if they're really Jewish, or religious. And it's happened before.
There are numerous examples of people, such as Jews for Jesus, pretending to be religious Jews, yet not being Jewish themselves, and infiltrating communities in order to proselytize. Or take the Lebanese Muslim man who pretended to be Jewish and married a Brooklynite under false pretenses.
Furthermore, even real, full fledged Jews can sometimes come under suspicion and be excommunicated, and be considered "not Jewish" anymore (of course they're still Jewish by blood, but the distinction remains nonetheless). Jesus, for one. So was Shabtai Tzvi, after essentially starting a cult and pretending to be the Mashiach. Similarly, Baruch Spinoza was kicked out of the Dutch Jewish community, for claiming beliefs that were simply antithetical to Jewish thought. I'm sure there are many others.
This is NOT to say that we treat everyone with suspicion. But when the occasion arises, it does not do us good to just accept everyone and move on. Jews only survived this long by protecting our boundaries. We are not going to stop doing that now.
