The short answer to the original question: No.
The way I've grown to look at the issue is there are two components.
Deep-seated feeling: If someone is sexually attracted to individuals of the same sex, feels trapped in the wrong body, or loves the color blue, a person cannot control that. These are feelings that are part of a person's foundation, and someone trying to change that is going to cause problems for the individual of interest. These feelings are not a "choice."
Action: A person can more or less embrace parts of themselves by seeking out relationships with people they are attracted to (even if they are of the same sex), working to transition, or by wearing the color blue. The "choice" here is whether someone goes ahead and follows through with what their heart tells them (and helps them feel more-actualized), or whether the person suppresses/denies it (and suffers), and I'm inclined to favor the former even when the choices are "weird."
The merits of a "choice" come down to benefits/harms to a good degree, and the simple matter is that same-sex partnerships, sex-changes, and wearing blue are all acceptable options if they stem from a person's freely-given choices (although "always wearing blue" is usually a problem for people who play on sports teams, but there is a bona fide occupational reason for that) -- they do not cause "harm" to people, although sex-changes probably warrant some level of control simply because it is a long-term, expensive, irreversible process that some people with gender issues may not benefit most from (one cannot "experiment" with a sex-change to explore their identity the same way as a person can "experiment" with same-sex attraction). If these things help someone realize and live as their true selves, they should be embraced rather than prohibited.
The time that a "choice" is wrong is when there is a demonstrable harm involved. An adult with a sexual attraction to children (a pedophile) can never realize those desires, because doing so violates someone else's (a child's) right to informed consent -- the best someone can ever do is "pretend" to have such a relationship, and doing so requires that anyone else involved is actually an adult. That has to be a tough way to live, and the person might benefit from a treatment/cure to control/fix that attraction, but I don't have the answers to what kind of approach is best. But it is an issue whether one's deep-seated feelings can create intractable problems if those feelings are acted upon, and we are capable of arguing this from a universal perspective.
The issue really seems to be how thorough society is in vetting out which "problems" are intractable problems. The LGBT spectrum is clean of these -- there are issues with anal sex being a high-risk activity more common to gay men (in terms of spreading STDs) and HRT/surgery creating irreversible changes to one's body, but they can be controlled by gay men avoiding anal sex (especially unprotected anal sex) outside of committed relationships and someone taking the time to make sure that HRT and then surgery is right for them. Religious/emotional objections may be heartfelt, and the LGBT family may be "wrong" to such people, but according to the secular standard that the greater society needs to adhere to in order for religious freedom to exist, being in the alphabet soup is just fine.
"Choice" here is simply a matter of whether people live as themselves or suffer by denying it, and as far as LGBTs are concerned, the choice to affirm oneself is the correct one. So, that's that, I think.