The issue is not whether God can deal with that or not. What pleases God and is acceptable to Him is what matters.
Indeed, obviously there are circumstances in which Christians have been almost completely annhilated but God being omnipotent can of course still resurrect us, and will do so.
Rather what matters is that since every human is created in the image of God, a fact reasserted in the incarnation of our Lord, God and Savior Jesus Christ, destroying the body with cremation is inherently iconoclastic, in that it involves an intentional destruction of the image of God imprinted on the body, which is what I would very respectfully stress to
@Paidiske is a problem for many Christians such as traditional Lutherans and the Orthodox despite the reverent way in which cremations are properly handled. It is this violence which is objectionable, and I say this as someone whose family has nearly all been unfortunately cremated owing to the widespread popularization of this practice, and economical reasons. This is why I feel the church needs to teach that burial is to be preferred, because of the divine image imprinted on the face of every human, which remains even after death in most cases, and where that image is damaged in the process of fatality, this is unfortunate but it does not justify further damage. And there are things the church can do to reduce the cost of cremation.
Now, I understand for the beleaguered parish priest this is a tall order, and thus I would say that implementing this within churches that have an episcopal polity ought to fall to the bishops, and in other churches such as Presbyterian churches it could be handled through a special committee appointed by the general assembly and supervised by the moderator, and likewise a similiar inter-parish approach can be used in Congregationalist and Baptist churches and other churches with a congregational polity, as well as very small denominations using presbyterian or episcopal polity where the actual size of the denomination or diocese would interfere with such a plan. It cannot work if the entire burden of setting up a cost effective burial scheme is offloaded onto the parishes, and what is more, I think it is unreasonable to expect the laity to have to deal with this on their own, since increasingly given the very excessive costs of the funeral industry, which I would lament are to a large extent being driven By large companies which have acquired family owned funeral homes to push up the costs, regional legislation that often interferes with churches organizing aspects of burials in-house, and also avaricious behavior in terms of real-estate speculation on cemetery plots.
This is why I am extremely sympathetic towards people who are in this dilemma, where cremation seems to be the only viable option, and also due to very good PR from crematories, is often seen as cleaner and better than traditional burial, which is not the case with the burning of the body due to pollution, and the water-based cremation that
@MarkRohfrietsch objects to has its own grotesque aspects, such as basically flushing most of the body into the sewer. Because of the burden of this, churches ought to organize and fight back, because the image of God is sacred and worth protecting. And furthermore, I think we owe it to the Jewish people as well, since their religion generally requires burial, and the Jews and Muslims are being put in a very difficult position by the high costs associated with this, and given the culpability nearly every Christian denomination has in at least some anti-Semitic acts, and given our larger numbers relative to the Jews, we owe it to them as well to act in alliance with them to reduce the costs on the basis of our shared tradition of burial.
This is particularly the case in Japan, by the way, which has a small Christian and an even smaller, but still very present, Jewish population, who experience extreme funeral costs in a society which is less than optimally sympathetic towards our situation, but it is also the case nearly everywhere, even in Orthodox countries like the former Soviet union, where Soviet-built crematoria continue to do a brisk business, and alas it is not merely former communists who are experiencing it but to a large extent the indigent.
By the way, on an ironic note, Lenin wanted to be buried next to his mother, but was preserved in a mausoleum by Stalin instead, a practice which would be repeated for many other communist dictators and which is quite grotesque, and represents one of the aspects of communism which took on a religious dimension (consider the pilgrimages to see the tombs of Mao, or the Kim dynasty in Korea, or other communist founder, and those that used to occur to see Lenin). Communism, we can assert, developed into something like a religion with its own unique funeral liturgy, hymns (The Internationale) and eschatology (the promise of pure communism after the revolution), one very much intolerant of other religions.