No.
The Soviets had overwhelming force. They had better tanks. They had so much artillery that they had ‘artillery traffic jams.’ The only advantage the allies might have was in the air, and the Soviet Air Force is not be underestimated.
Both armies were exhausted, but Soviets didn’t care - a benefit of being a dictatorship.
Turning around and attacking the Soviets would have played well at home which had been thoroughly propagandized with pro-Soviet media.
All in all any attack on the Soviets would have probably ended up with the Soviets on the Rhine.
The T34 was an excellent tank, no doubt; however, the US M26 that was just trickling on board at the end of the war was superior, as was later demonstrated by M26 - T34 engagements in Korea.
That said, I agree with everything else in your post. Our going after the Soviets at the end of hostilities would not have been supported by the American public, largely due to sympathetic parties in FDR and HST's administrations, to say nothing of the depth of their penetration of US and British intelligence services.
Couldn’t do it in May 45 because we wanted the Soviets to fight the Japanese. The US didn’t want that war to stretch out any longer than needed.
By the end of 45 every US soldier in Europe was ready to go home and it would have been a very hard sell politically to fight against “our allies” the Soviets.