You can use two transceivers with one amplifier just fine. The 1000MPMKV and 706MK2G probably have different ALC requirements and response, so you'd need to switch the ALC line between the two rigs. Since the AL811's ALC output port is a common RCA phono jack, you could just use a 2-port (SPDT) RCA phono "switch" to switch this output between the two rigs.
The amp's relay key line can actually be connected to both rigs at the same time if you use a series diode between each transceiver and the amplifier. The polarity of the diode needs to be: The cathode of the diode connects to the key line output from the transceiver, and the anode of the diode connects to the amp key line input on the amplifier. Use one diode per rig, so the two anodes of the diodes will be connected together as a common terminal (and the two cathodes are used indepedently, one cathode going to one transceiver, the other cathode going to the other transceiver). Arranged this way, both rigs can be left connected to the amplifier and either one will key it. The diodes will isolate one transceiver from the other. A common 1N4001 (ten cents, anywhere) will work.
WB2WIK/6