It is very hard to make time to go through these parshiyos properly when there is so much to do for Pesach. Kabbalists say there is some powerful tikun that can be accomplished if you sweat when baking matzah. I don't understand such ideas, but I do understand that you can accomplish a lot of you sweat while cleaning for Pesach.
The Netziv (2:11) has a nice explanation of why you can't bring a korban mincha that is chametz. The Ohr haChaim at the beginning of Parshas Tazria quotes a Tanchuma that records a conversation between R' Akiva and Turnusrufus. Turnusrufus was bothered by why we have a mitzvah of milah -- if G-d made us araleim, then why should we tamper with his creation? R' Akiva responded by asking Turnusrufus whether he thought a stalk of wheat was better than a loaf of bread. It's a rhetorical question -- of course we all prefer to eat the bread. G-d gave us the world to perfect, to improve, to mold. We are supposed to turn the wheat into bread. In the process, we ourselves grow. For our purpose, what's important is the example the Midrash uses of man's work making a difference -- the baking of bread. A whole chunk of meleches Shabbos, the paradigm of what creative work is all about, is devoted to the steps of siddura d'pas, the labor involved in making bread. In a similar vein, the Midrash and Yerushalmi (43a in the Vilna ed, see Ridbaz there) explain the machlokes R' Nachman and Chachamim whether the nusach ha'bracha is "ha'motzi lechem min ha'aretz" or "motzi..." is not just a technical grammatical issue, whether the word "motzi" is past tense or not (as the Bavli explains), but is l'shitasam as to whether the tree Adam haRishon ate from was a loaf of bread. R' Nachman holds that in gan eden bread literally grew on trees -- man didn't need to work to produce it; therefore, you can saw "motzi," past tense, because at the time of creation G-d, not man, made the bread. Chachamim hold that we need to use the future tense because, as the gemara in Kesubos tells us, it is only in the time of future geulah that this bracha of bread growing on trees will be realized. In the here and now, however, in between gan eden and the future geulah, the only way we can get that bread is if we put our own effort = hishtadlus into making it. The Netziv on our pasuk tells us that this requirement of histadlus is inversely proportional to the level of ruchniyus a person is on. The closer a person is to holiness, the less hishtadlus is needed. In gan eden and when geulah happens, when we are really close with G-d, there is no need at all for our baking bread. So too, when you come to the Mikdash, writes the Netziv, that's not the place to bring your bread. "Adam ki yakriv" -- when we bring korbanos, we reach back in history to imitate like Adam haRishon (see Chasam Sofer) in gan eden, when bread grew on trees, and when it didn't need to come from us.
Pesach is such a special time that for a week we put aside our baking bread, our hishtadlus, and we let G-d take care of everything.