Define "High BW".
If you mean 100 kHz, then fine, maybe. If you mean 100 MHz, then you won't succeed.
The problem with a passive 1x probe is that you have no means to isolate the DUT from the high input capacitance of the scope (>= 20 pF typically) or the very high capacitance of the coax cable that you use to connect the probe to the scope (>= 30 pF per foot). This is perhaps the single most important reason why all high bandwidth passive probes are at least 10x attenuating, often higher. They add series impedance at the probe tip to isolate the DUT from the downstream capacitance. Just a few pF becomes a very small impedance at 10's of MHz, and this loads the circuit and alters the signal to the point that what you see isn't what you would have seen if the probe wasn't connected. Adding series impedance necessarily means attenuating the signal, but we live with that.
Even a "pure" coax transmission line probe, which you could create with a series 50 ohm series resistor, 50 ohm coax, and a 50 ohm termination at the scope, will be 2x attenuating, and it will load the circuit with 100 ohm plus maybe one pF of capacitance to ground. However, this might work well to observe GHz signals at nodes that don't mind driving that 100 ohms. Passive "Low Z" (as opposed to typical High Z) probes are also somewhat common, with impedances of 500 to 1000 ohm (plus ~1 pF) and attenuation factors of 10x (500 ohm) to 20x (1 kohm).
The only way to make a true high-bandwidth 1x probe is to make it active. This is why expensive FET probes exist.
Try this: Disconnect one of your probes. Observe signal change on the other, save that trace. Reconnect, then disconnect the other. Observe and save that trace. Compare the two saved traces. Are they still so similar? Now try a typical High-Z 10x probe, and compare that trace to the other two. How do the different probes affect the signal?
Suggested reading is Tek's "Probe Fundamentals". Latest pdf I found was 2009.
I hope you don't feel like I'm poo-pooing your idea. Never stop thinking, experimenting, and discovering.