TR pushed the Republican party to the left, to a progressive, moderate stance. Other than his distrust for many wealthy businessmen, corporations [see Square Deal, Trust Buster], stance against the courts when they ruled against unions and his very pro conservation positions I can see where he was much like the current Republicans. And he was also considered highly moral, somewhat incongruous with the current occupants of the office.
The current administration's major accomplishment is, as you and nearly everybody else on the planet have opined often, Iraq. Teddy's major accomplishment was the Canal.
The morality of each is open to question. Yours is predicated on assumptions concerning teh current occupant that are equivocal.
Concerning the trusts issue, there is absolutely no comparison because Bush did not assume power following laissez faire capitalism for the previous 110 years -- Roosevelt's inheritance. Bush took over after nearly 100 years of legal federal dominance of market (for good and ill, IMO). The level of abuse of power by industry was incomparably greater in Roosevelt's day. The best Bush et al could come up with is the odd corporate chief and of course, ENRON. Small taters, indeed compared to TR.
But on the major issue, Bush, like Roosevelt at the height of his power, over-reached his authority, defied Congress at every turn, and did damn-near whatever he wanted when in office including engaging in military missions without even a passing nod to Congress or the constitution.
Folks who like TR and hate Bush do so for EXACTLY the same reasons, which is of course, paradoxical to say the least.